Proportions and Percent of Change

Proportions and Percent of Change

By Courtney Tout

Comparing 2 items

Ratio

Comparison through divison

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Unit Rate has a value of 1 in the denominator

Ex: Miles per hour​

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Rate

Two fractions set equal to each other.

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Units must match either:

• Vertically

• Horizontally​

Proportion

Multiple Choice

Elijah earns $230 for 8 hours of work. What is the unit rate (in dollars per hour)?

• $25.50 per hour

• $12.50 per hour

• $1,840 per hour

• $28.75 per hour

Multiple Choice

There are 50 cookies and 35 cupcakes leftover at a bake sale. What is the ratio of cookies to cupcakes?

Your answer must be in simplest form.

• 10:7

• 7:10

• 35:50

• 50:35

Multiple Choice

Which of these ratios is equivalent to 3:4?

• 12:9
• 9:20
• 9:12
• 803:804

Multiple Choice

What is the ratio of hearts to flashes?

• 4/5

• 5/9

• 4/9

• 5/4

Multiple Choice

You spend $40 on 5 pounds of concrete. How much would would it cost for 7 pounds of concrete?

• $56

• $50

• $35

• $42

Multiple Choice

What would be the ratio of red apples to green apples if there were double the amount of apples?

• 6 red apples to 8 green apples

• 8 red apples to 6 green apples

• 4 red apples to 3 green apples

• 3 green apples to 4 red apples

Multiple Choice

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

• 35

• 60

• 18

• 50

Multiple Choice

Tommy has a bag of LEGOS. There are:

6 yellow

3 red

8 blue

What is the ratio of red to blue LEGOS?

• 3:8

• 6:3

• 6:8

• 3:6

Multiple Choice

If there are 5 boys to 7 girls, how many girls would there be if the number of boys increased to 20?

• 35 girls

• 28 girls

• 24 girls

• 30 girls

Multiple Choice

For 6 people to enter the park, it cost $36. How much would it cost for 9 people?
                             

• $45.50
• $48.00
• $54.00
• $52.50

Multiple Choice

A recipe that will make 3 pies calls for 7 cups of flour. Determine how many pies can be made with 28 cups of flour.

• 40 pies
• 4 pies
• 12 pies
• 10 pies

Multiple Choice

Daisy sour cream is $1.68 for 8 oz.

Kraft sour cream $2.08 for 16 oz.

Find the unit price of each and choose the better deal.

• Daisy

• Kraft

Step 1: Find the difference between New and Original Values

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Step 2: Divide difference by Original Value

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Step 3: Scale Up or Down to get a denominator of 100. Percent is on top.

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​Some text here about the topic of discussion.

​Percent of Change

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Multiple Choice

Which is the correct formula for percent of change?

• $$\frac{Original}{Origianl\ -\ New}$$  

• $$\frac{Orignal}{New-Original}$$  

• $$\frac{New\ -\ Original}{Original}$$  

• $$\frac{Oringla\ -\ New}{New}$$  

Multiple Choice

75 people to 25 people

• Increase
• Decrease 

Multiple Choice

16 meters to 44.2 meters

• Increase
• Decrease

Multiple Choice

68 miles to 42.5 miles

• Increase
• Decrease

Multiple Choice

Sally went to the clearance rack at a department store and found a shirt she wanted to buy.  The shirt was $36.00 and is on sale for $24.00.  What is the percent of the decrease?

• 33%
• 67%
• 50%
• 34%

Multiple Choice

In 1999, the price of unleaded fuel was $1.09.  In 2015, the price of unleaded fuel is $1.89.  What is the percent change?

• 173% increase
• 73% increase
• 73% decrease
• 27% increase

Multiple Choice

Tickets to Disney World are $100. The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?

• 25%
• 18%
• 20%
• 50%

Multiple Choice

Find the PERCENT of change.
20 dogs to 5 dogs

• Decrease 15%
• Increase 15%
• Increase 75%
• Decrease 75%

Multiple Choice

Find the PERCENT of Change.
The original cost was $50 and the new cost is $60. 

• Increase 20%
• Increase 16.67%
• Increase $10
• Decrease $10

Multiple Choice

Find the percent of change if the original cost was $5 and the new cost is $1. 

• Increase $4
• Decrease $4
• Decrease 80%
• Decrease 400%