• Awards Season
  • Big Stories
  • Pop Culture
  • Video Games
  • Celebrities

Kate Bove

How Has a Year Without Tourists Impacted the Overtourism Problem?

solving problems with two unknowns year 6

All press is good press — until that press goes too well. Although the Netherlands’ beautiful, canal-filled city of Amsterdam garners about $91.5 billion a year through tourism, the city and its residents feel more overwhelmed than grateful. In 2018, a whopping 18 million people visited Amsterdam, and experts estimate that number will climb to 42 million visitors by 2030. Longtime resident Ellen van Loon told CNN , “We [the Dutch] don’t want to turn into a Venice.”

Italy’s similarly canaled destination attracts 28 million visitors annually — while 2,000 residents abandon the city each year due to those same tourists. Of course, Amsterdam and Venice aren’t the only cities that have become synonymous with overtourism. In fact, hotspots all over the world, from beaches in Thailand to ancient sites in Peru, have simply attracted too many curious tourists. This phenomenon, known as overtourism, has led to environmental and ecological damage as well as a great deal of strain for locals who must navigate living amongst tourists and their economic impact.

Of course, the COVID-19 pandemic has stymied travel, shutting down airports, cities, borders and entire nations. According to the U.S. Travel Association , travel spending declined by an unheard of 42% in 2020; international and business travel suffered the most, with spending falling 76% and 70%, respectively. So, after a year of virtually no tourism, how are these (normally too heavily traveled) places, and the people that call them home, faring?

How Overtourism Impacts Some of the World’s Most Beautiful Destinations

Be it an ancient site, a crowded city or a place of natural splendor, popular destinations all feel the effects of overtourism differently. For example, Rapa Nui — often known to westerners as Easter Island — faces preservation issues, especially when it comes to the island’s famed moai sculptures. Meanwhile, the Galápagos Islands, the fragile and isolated ecosystem Charles Darwin popularized, has put a cap on how many visitors can travel to the archipelago each year. And in hotspot cities like Barcelona, Spain, locals are so furious with the unprecedented jump in tourists that they’ve coined a term to describe what overtourism is doing to the city: parquetematización — or the act of becoming a theme park.

solving problems with two unknowns year 6

Some of the other most heavily impacted destinations include:

How Has a Year Without Tourists Impacted These Normally Heavily Trafficked Places?

Cruises were one of the first aspects of the travel industry to shut down in 2020. In fact, the Centers for Disease Control and Prevention (CDC) found that between February 3 and March 13 roughly 200 COVID-19 cases in the U.S. were linked to cruise ship passengers. Soon enough, halts on air travel and widespread lockdowns followed.

solving problems with two unknowns year 6

In Venice, a city that’s usually visited by upwards of 32,000 cruise ship passengers a day, the pandemic has completely changed the day-to-day energy of life there. “Everyday life is a lot more pleasant without the congestion created by the crowds of tourists that came in large groups,” Venice resident Jane da Mosto told CNN Travel .

Of course, that calmer way of life comes at a cost financially. The reprieve from tourists has had that same dual impact the world over. Now, in light of the pandemic, only 75 people are allowed in Machu Picchu at a time, which translates to just under 700 visitors a day. That’s hundreds less than the norm — and, while it’s better for the ancient site, the financial impact will certainly be felt. While experts predict that the travel industry will bounce back, COVID-19 has definitely upset the industry’s stability — largely because the pandemic, and various countries’ reactions to it, are so unpredictable.

Still, some see the pandemic as a disruption to a vicious, seemingly unbreakable cycle. With overtourism, governments often make tradeoffs to keep the cash flowing in, only to scramble for solutions to restore environments and structures or appease upset locals. With this in mind, World Politics Review brings up an interesting question: “Should business-as-usual be salvaged at any cost, or is now the chance to create a smaller, slower and more sustainable model of global tourism?” While the COVID-19 pandemic may have only put a temporary pause on tourism, the pause itself could be a chance to recalibrate, to figure out a way to end overtourism once and for all.

MORE FROM ASK.COM

solving problems with two unknowns year 6

HIGH SCHOOL

GRADUATE SCHOOL

Search 50+ Tests

Loading Page

math tutoring

science tutoring

Foreign languages.

elementary tutoring

Search 350+ Subjects

Pre-Algebra : Word Problems with Two Unknowns

Study concepts, example questions & explanations for pre-algebra, all pre-algebra resources, example questions, example question #1 : word problems with two unknowns.

Combined, Megan and Kelly worked 60 hours. Kelly worked twice as many hours as Megan. How many hours did they each work? 

Megan worked for 20 hours and Kelly worked for 40 hours

Megan worked for 40 hours and Kelly worked for 10 hours

Megan worked for 15 hours and Kelly worked for 45 hours

Megan worked for 10 hours and Kelly worked for 50 hours

Megan worked for 30 hours and Kelly worked for 60 hours

Step 1: Megan and Kelly's total hours worked needs to add up to 60, and Kelly worked two times as long as Megan. We can put this into a formula:

solving problems with two unknowns year 6

Step 2: substitute 2m for k and add the variables 

solving problems with two unknowns year 6

Step 3: isolate m

solving problems with two unknowns year 6

Step 4: Now that we know Megan worked 20 hours (m=20), we can multiply her hours worked by 2 to find out how long Kelly worked.

solving problems with two unknowns year 6

Step 5: check to make sure Megan and Kelly's hours add up to 60

solving problems with two unknowns year 6

Example Question #2 : Word Problems With Two Unknowns

Jamal invites 15 people to his birthday party and orders enough cupcakes so that everyone (himself included) will get two cupcakes. How many cupcakes can everyone have if only 7 friends show up to Jamal's party? 

solving problems with two unknowns year 6

Step 1: find the number of cupcakes ordered by adding up all of the people at the party and then multiplying that number by the 2 cupcakes ordered per person.

solving problems with two unknowns year 6

Step 2: to find the number of cupcakes each person can have, take the number of cupcakes and divide it by the number of guests, including Jamal.

solving problems with two unknowns year 6

Example Question #3 : Word Problems With Two Unknowns

Michael and Tom are brothers. Their combined age is 20, and Tom is 4 years older than Michael. What are Michael and Tom's ages?

Tom is 10 years old and Michael is 4 years old.

Michael is 8 years old and Tom is 12 years old.

Tom is 16 years old and Michael is 4 years old.

Michael is 12 years old and Tom is 8 years old.

Michael is 10 years old and Tom is 10 years old.

To solve this, we can set each of their ages as a variable. Let's say Michael's age is x.

We know Tom is 4 years older than Michael, so Tom's age is x+4.

We also know that their combined age is 20, so if we add both of their ages, we should get 20.

x + (x+4) = 20

So Michael's age is 8, and Tom is 12.

Example Question #4 : Word Problems With Two Unknowns

Sarah earns $10 an hour selling calculators, and every time she sells a calculator, she earns an additional $3 comission. Jamie also sells calculators, and earns $30 an hour, but only earns an additional $1 comission for every calculator she sells. 

How many calculators per hour on average would Sarah have to sell to be making as much as Jamie would per hour, if Jamie sold the same number of calculators?

solving problems with two unknowns year 6

Answer cannot be determined from the information given 

solving problems with two unknowns year 6

Example Question #5 : Word Problems With Two Unknowns

solving problems with two unknowns year 6

11 dimes and 10 quarters

14 dimes and 7 quarters

12 dimes and 12 quarters

7 dimes and 14 quarters

10 dimes and 11 quarters

solving problems with two unknowns year 6

Simplifying further we get

solving problems with two unknowns year 6

We then want to combine like terms (the  d s)

solving problems with two unknowns year 6

We then want all of our variables on one side and all of our constants on the other, which we can accomplish by subtracting 525 from both sides.

solving problems with two unknowns year 6

That means Jamarcus has 7 dimes.  If we remember that he had 21 coins in all, that leaves 14 quarters.  Jamarcus has 7 dimes and 14 quarters.

We can double check ourselves.  Seven dimes would total $0.70, and 14 quarters would total $3.50, bringing the grand total to the correct value of $4.20.

Example Question #6 : Word Problems With Two Unknowns

The sum of two numbers is 128.  The first number is 18 more than the second number.  What are the two numbers?

solving problems with two unknowns year 6

We can then combine like terms (our variables), giving us

solving problems with two unknowns year 6

We then want all of our constant terms on the right side, which we can accomplish by subtracting 18 from both sides.

solving problems with two unknowns year 6

The last step to solving the equation is to divide both sides by 2.

solving problems with two unknowns year 6

Therefore, our second number is 55.  Since our first number is 18 more than that, it must equal 73.  Double checking, we can confirm that the sum of 55 and 73 is indeed 128.

Example Question #7 : Word Problems With Two Unknowns

Turn the word equation into symbols.

The product of three and s and the difference of 12 and 7 is 14.

solving problems with two unknowns year 6

We need to translate the English words into a mathematical statement.

Product means multiply.

Difference means subtraction.

Is means equals.

Product of 3 and s is 3s.

Difference of 12 and 7 is 12 - 5.

Therefore, the equation becomes,

solving problems with two unknowns year 6

Example Question #8 : Word Problems With Two Unknowns

There are a total of 14 coins when dimes and nickels are combined.  The total amount is 80 cents.  How many dimes and nickels are there, respectively?

solving problems with two unknowns year 6

Write two equations to represent the scenario.  There are two equations and two unknowns.

solving problems with two unknowns year 6

Nickels are 5 cents, and dimes are 10 cents.  The total is 80 cents.  Write the second equation.

solving problems with two unknowns year 6

Multiply the second equation by 10 and use the elimination method to cancel out the dimes variable.

solving problems with two unknowns year 6

There are 12 nickels.  

Substitute this into the first equation to find the number of dimes.

solving problems with two unknowns year 6

There are 2 dimes and 12 nickels.  

Example Question #9 : Word Problems With Two Unknowns

You go to the store and buy  x  bags of carrots and  y  bananas.  Each bag of carrots costs $1.50 and each banana is $0.25.  You spend $6.50.  The total number of items you purchase is 11.  How many bags of carrots did you buy?  How many bananas did you buy?

6 bags of carrots, 5 bananas

5 bags of carrots, 6 bananas

3 bags of carrots, 8 bananas

4 bags of carrots, 7 bananas

8 bags of carrots, 3 bananas

Given the information, we have 2 equations. We know each bag of carrots is $1.50 and each banana is $0.25.  We also know the total amount we spend is $6.50.  So, we can write the equation

solving problems with two unknowns year 6

where  x is the number of bags of carrots and  y is the number of bananas.  

We also know the total number of items we purchased is 11.  We can write the equation as

solving problems with two unknowns year 6

where  x is number of bags of carrots and  y is the number of bananas.

To solve, we will solve for one variable in one equation and substitute it into the other equation.  So,

solving problems with two unknowns year 6

Now, we can substitute the value of  y into the first equation.  We get,

solving problems with two unknowns year 6

We distribute.

solving problems with two unknowns year 6

We combine like terms.

solving problems with two unknowns year 6

We solve for  x  by getting  x alone.  

solving problems with two unknowns year 6

Therefore, the number of bags of carrots we bought is 3.  To find the number of bananas, we simply substitute  x  into the equation.

solving problems with two unknowns year 6

Therefore, the number of bananas we bought is 8.

So we bought 3 bags of carrots and 8 bananas.

Display vt optimized

Report an issue with this question

If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources.

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105

Or fill out the form below:

Contact Information

Complaint details.

Learning Tools by Varsity Tutors

Find the Best Tutors

disclaimer

Problems with two unknowns

Spine 1: Number, Addition and Subtraction – Topic 1.31

Introduction

Equip children with strategies for solving problems with two unknowns, including using the bar model to represent relationships between known numbers, and working systematically.

Teaching points

Teacher Guide

Representations, all year 6 files, related pages.

Is there anything wrong with this page?

Subscribe to our newsletter

A collaborative national network developing and spreading excellent practice, for the benefit of all pupils and students.

About this website

Stay connected.

Solve equations with two unknowns

Solve equations with two unknowns

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Neil Adam's Shop

Last updated

22 February 2018

docx, 121.06 KB

Creative Commons "Sharealike"

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

Thanks for sharing - with answers too! :-)<br />

Yeah, I find it helpful when others add answers!

Empty reply does not make any sense for the end user

Butterflywalk

One of those moments when you have found the perfect resource and your planning is done for the week! Wonderful - thank you!

That's brilliant! Thanks

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

solving problems with two unknowns year 6

Please enable JavaScript to experience Vimeo in all of its glory.

Year 6 Spring Block 2 TS10 Solve problems with two unknowns

from White Rose Maths

You'll need JavaScript enabled to experience the full functionality of this site. Please enable JavaScript by following the instructions at enable-javascript.com .

Sorry, the browser you're currently using is not supported by this site. Please upgrade your browser by following the instructions at browser-update.org .

CGP Books

Algebra — Two Unknowns (Year 6)

solving problems with two unknowns year 6

Choose your format:

Save to Your Lessons

Share resource

Your download limit has been reached!

Check out our FAQs for more info. 

This PowerPoint will help children to understand the tricky concept of finding pairs of numbers that satisfy an equation with two unknowns. Through a mixture of examples and practice they will learn how to complete the equations and know that there can sometimes be infinite possibilities to the two variables.

Related Topics:

Other Teachers Downloaded...

Algebra — Missing Number Problems (Year 6)

Algebra — Missing Number Problems (Year 6)

Multi-Step Problems (Year 6)

Multi-Step Problems (Year 6)

Inference — Peter Pan (Years 5-6)

Inference — Peter Pan (Years 5-6)

Algebra — Linear Sequences (Year 6)

Algebra — Linear Sequences (Year 6)

Solving Linear Equations (Year 6)

Solving Linear Equations (Year 6)

Simple Formulae (Year 6)

Simple Formulae (Year 6)

Poem Matching (Years 5-6)

Poem Matching (Years 5-6)

Introduction to Ratio (Year 6)

Introduction to Ratio (Year 6)

Working Out Unknowns in Equations (Year 6)

Working Out Unknowns in Equations (Year 6)

Algebraic Number Problems (Year 6)

Algebraic Number Problems (Year 6)

Algebra — Area and Perimeter (Year 6)

Algebra — Area and Perimeter (Year 6)

Dividing Fractions Fluency (Year 6)

Dividing Fractions Fluency (Year 6)

No reviews (yet!)

Related Resources

Combination of Two Variables (Year 6)

Combination of Two Variables (Year 6)

Algebra — A Yummy Dilemma (Year 6)

Algebra — A Yummy Dilemma (Year 6)

Word Problem Equations (Year 6)

Word Problem Equations (Year 6)

Word Problem Equations: Foundation (Year 6)

Word Problem Equations: Foundation (Year 6)

Views in Diverse Communities (Years 5-6)

Views in Diverse Communities (Years 5-6)

Religion Pie Charts (Years 5-6)

Religion Pie Charts (Years 5-6)

Giving to Others (Years 5-6)

Giving to Others (Years 5-6)

Using Variables (Years 5-6)

Using Variables (Years 5-6)

Algebra — Satisfying Number Combinations (Year 6)

Algebra — Satisfying Number Combinations (Year 6)

Column Addition (Year 4)

Column Addition (Year 4)

Cookies are disabled on your browser. This means some features of the site won't be fully available to you.

CGP uses cookies to give you a smooth shopping experience and to help us understand how well our site is working. To agree to us using all cookies, click 'Accept', or to reject optional cookies click 'Customise'.

Accept cookies Customise cookies

Solve equations with two unknowns

Find all the possibilities with simple equations.

Free Monthly Resources

Print/download our free resources, plus a 7 day free trial with 5 further sets of worksheets and unlimited game plays.

Related Resources

Preview of worksheet Investigate numbers and shapes using algebra (1)

Investigate Numbers and Shapes using Algebra

Preview of worksheet Use simple formulae

Easy starters on algebra.

Preview of worksheet Solve simple equations

An introduction to solving simple equations.

Preview of worksheet Understanding algebra

Quick practice to help with understanding simple algebra.

Subscribe to our newsletter

The latest news, articles, and resources, sent to your inbox weekly.

© Copyright 2011 - 2023 Route One Network Ltd. - URBrainy.com 4.0

IMAGES

  1. Year 6 Solve Problems Involving Four Operations Maths Challenge

    solving problems with two unknowns year 6

  2. Solving Equations and Missing Number Problems

    solving problems with two unknowns year 6

  3. Solving Equations and Missing Number Problems

    solving problems with two unknowns year 6

  4. 😀 Year 6 problem solving. Year 6 maths problem solving worksheets. 2019-01-11

    solving problems with two unknowns year 6

  5. Extra Support Activity: Solve equations with two unknowns. (Year 6 Algebra)

    solving problems with two unknowns year 6

  6. Practice Worksheets: Solve equations with two unknowns (Year 6 Algebra)

    solving problems with two unknowns year 6

VIDEO

  1. Algebraic Word Problems with Two Unknowns

  2. TWO OP ENCHANTS FROM ONE PRIMADON

  3. Math at Home : Solving a system of linear equations

  4. Class 11th Trigonometric Equations Lecture 5 For Boards , JEE Mains And Advanced By Rajesh Chaudhary

  5. How to solve easy system of equations

  6. A simple math problem

COMMENTS

  1. What Are the Six Steps of Problem Solving?

    The six steps of problem solving involve problem definition, problem analysis, developing possible solutions, selecting a solution, implementing the solution and evaluating the outcome. Problem solving models are used to address issues that...

  2. How Do You Solve a Problem When You Have Different Bases With the Same Exponents?

    When multiplying or dividing different bases with the same exponent, combine the bases, and keep the exponent the same. For example, X raised to the third power times Y raised to the third power becomes the product of X times Y raised to th...

  3. How Has a Year Without Tourists Impacted the Overtourism Problem?

    All press is good press — until that press goes too well. Although the Netherlands’ beautiful, canal-filled city of Amsterdam garners about $91.5 billion a year through tourism, the city and its residents feel more overwhelmed than grateful...

  4. Algebra equations. How you find out two unknowns in ...

    Algebra basics. · How to find secret values in algebra equations - Year 6 maths · A Nice Exponential Equation || A Nice Exponential Problem || 2^(

  5. Algebra: Equations with two unknowns [FREE RESOURCE]

    Maths – Key Stage 2 (Upper): An introduction to solving equations with two unknown numbers. A real-life problem is used to show how the

  6. Pre-Algebra : Word Problems with Two Unknowns

    Michael is 8 years old and Tom is 12 years old. Explanation: To solve this, we can set each of their ages as a variable. Let's say Michael's age is x.

  7. Problems with two unknowns

    All Year 6 files

  8. Year 6 Finding Numbers

    Our worksheets, activities, and PowerPoints focus on the specific algebra topic 'find pairs of numbers that satisfy an equation with two unknowns'. With the

  9. 👉 Y6 Intervention: Finding Two Unknown Numbers in an Equation

    A clear and practical maths intervention to support children in year 6 to learn how to find a pair of numbers that satisfy an equation with two unknown

  10. Solve equations with two unknowns

    Set out algebraically (rather than using picture puzzles). Finding solutions with limits (eg. only positive integers). Challenge questions are (implicitly)

  11. Year 6 Spring Block 2 TS10 Solve problems with two unknowns

    This is "Year 6 Spring Block 2 TS10 Solve problems with two unknowns" by White Rose Maths on Vimeo, the home for high quality videos and the

  12. Algebra

    This PowerPoint will help children to understand the tricky concept of finding pairs of numbers that satisfy an equation with two unknowns.

  13. Year 6 Find Pairs of Values 2 Varied Fluency

    Expected Questions to support solving equations which involve multiples of one unknown, using all four operations and whole numbers. Greater Depth Questions to

  14. Solve equations with two unknowns

    Print/download our free resources, plus a 7 day free trial with 5 further sets of worksheets and unlimited game plays. Email. Password.