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## How Has a Year Without Tourists Impacted the Overtourism Problem?

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

Some of the other most heavily impacted destinations include:

- Santorini, Greece: Greece as a whole may be on the brink of an overtourism crisis. In 2018, the country hosted an unprecedented 32 million visitors, whereas back in 2010, that figure was closer to 15 million. The Greek National Tourism Organisation says it plans to strategically extend what is considered the summer holiday period so the influx of tourists doesn’t “[move] beyond the carrying capacity of the environment.” Of all locales, the small island of Santorini has been hit hardest, garnering a whopping 5.5 million annual visitors.
- Machu Picchu: Peru’s most well-known Inca citadel is one of those destinations everyone puts on their bucket list. Unfortunately, this wonder of the ancient world wasn’t built to sustain the more than 1.2 million tourists that trek to the archeological site annually. Since Peru can’t just close its most popular tourist spot, a new ticketing system was implemented in 2017 to promote preservation.
- Koh Tachai, Thailand: Like most Thai marine parks, Koh Tachai, an island in Similan National Park, is closed every May through October for the monsoon season. But in 2016, the park didn’t reopen. The beautiful beaches had been overrun with 14 times the number of people experts said the beaches should hold. Officials decided to close the island for rehabilitation, although many fear the damage is irreparable. In addition to problems related to general overcrowding, inexperienced divers — who were more concerned with photographs than their surroundings — damaged the island’s fragile reefs. As of 2019, Koh Tachai is closed to tourists indefinitely.
- Dubrovnik, Croatia: Although it joined UNESCO’s list of World Heritage Sites back in 1979, Dubrovnik only recently emerged as one of the Mediterranean’s top tourist destinations. Unfortunately, locals claim the Old City’s historic cathedrals, fortresses and buildings have swelled with Disneyland-level crowds — due to the popularity of HBO’s Game of Thrones and the sheer number of cruises it brings in.
- Boracay, Philippines: Boracay is known for having some of the most beautiful beaches in the world. But those beaches were closed to tourists in 2018 by the president of the Philippines. An estimated 1.7 million travelers visited the island within a 10-month period, raising major infrastructure concerns — namely in terms of sewage treatment.

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

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## Pre-Algebra : Word Problems with Two Unknowns

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 2: substitute 2m for k and add the variables

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

## Example Question #2 : Word Problems With Two Unknowns

## Example Question #3 : Word Problems With Two Unknowns

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.

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

## Example Question #4 : Word Problems With Two Unknowns

Answer cannot be determined from the information given

## Example Question #5 : Word Problems With Two Unknowns

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

## Example Question #6 : Word Problems With Two Unknowns

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

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

## 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.

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

Difference of 12 and 7 is 12 - 5.

Therefore, the equation becomes,

## Example Question #8 : Word Problems With Two Unknowns

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

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

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

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

There are 2 dimes and 12 nickels.

## Example Question #9 : Word Problems With Two Unknowns

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

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

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

We solve for x by getting x alone.

Therefore, the number of bananas we bought is 8.

So we bought 3 bags of carrots and 8 bananas.

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## Problems with two unknowns

Spine 1: Number, Addition and Subtraction – Topic 1.31

## Introduction

## Teaching points

- Teaching point 1 : Problems with two unknowns can have one solution or more than one solution (or no solution). A relationship between the two unknowns can be described in different ways, including additively and multiplicatively.
- Teaching point 2 : Model drawing can be used to expose the structure of problems with two unknowns.
- Teaching point 3 : A problem with two unknowns has only one solution if the sum of the two unknowns and the difference between them is given ( ‘sum-and-difference problems’ ) or if the sum of the two unknowns and a multiplicative relationship between them is given ( ‘sum-and-multiple problems’ ).
- Teaching point 4 : Other problems with two unknowns have only one solution.
- Teaching point 5 : Some problems with two unknowns can’t easily be solved using model drawing but can be solved by a ‘trial-and-improvement’ approach; these problems may have one solution, several solutions or an infinite number of solutions.

## Teacher Guide

Representations, all year 6 files, related pages.

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## Solve equations with two unknowns

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## Year 6 Spring Block 2 TS10 Solve problems with two unknowns

## Algebra — Two Unknowns (Year 6)

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- Key Stage: Key Stage 2
- Subject: Maths
- Topic: Formula and Expressions
- Topic Group: Algebra
- Year(s): Year 6
- Media Type: PowerPoint
- Resource Type: Teaching Resource
- Last Updated: 28/09/2022
- Resource Code: M2PAT118
- Spec Point(s): Find pairs of numbers that satisfy an equation with two unknowns. Enumerate possibilities of combinations of two variables.

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