Proportions - Review

Proportions - Review

Ratio vs. Proportion

Ratio: shows the relationship between the amounts of 2 DIFFERENT things

Proportion: comparing two or more ratios that are equal in value

Multiply Across to see if the cross products are equal

Determine if the following ratios are proportional

Multiple Choice

Q.

 $\frac{4}{7}=\frac{2}{4}$  

• True 

• False 

Multiple Choice

Q.

 $\frac{2}{3}=\frac{4}{6}$  

• True 

• False 

We can use CROSS MULTIPLICATION to find the missing number in a ratio

Use cross multiplication to solve the proportions

Multiple Choice

Q.

 $\frac{2}{5}=\frac{x}{20}$  

• x=8

• x=2 

• x=50

Multiple Choice

 $\frac{3}{7}=\frac{33}{x}$  

• x=75

• x=76

• x=70

• x=77

Multiple Choice

Solve the proportion:

• 15

• 5

• 10

• 12

We can set up and solve proportion from word problems.

Set up and solve the proportion from the following word problems

Multiple Choice

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

• $30

• $20

• $60

• $10

Multiple Choice

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

• 24 weeks

• 6 weeks

• 30 weeks

• 20 weeks

Percent Proportions

Determine the Part, Whole and Percent (%) - Then use cross multiplication to solve for the missing information

Multiple Choice

Abigail took a science test and got 36 correct and 4 incorrect answers. What was the percentage of correct answers?

• 94%

• 86%

• 83%

• 90%

Multiple Choice

A student made an 85% on a test with 25 questions. What is the number of questions that the student answered correctly? Round to the nearest whole number.

• 21 questions

• 22 qestions

• 23 questions

• 24 questions

Multiple Choice

8 is what percent of 20?

• 40%

• 20%

• 250%

• 2.5%

Multiple Choice

What is 40% of 230?

• 92
• 9200
• 9.20
• 575

Percent Proportion

Tax and Tip (Gratuity)

Use percent proportion to solve for tax & tip

• Make sure to READ what the question is asking for

• is it asking for just the tax? or the total bill?

• Is it asking for just the tip? or for the total bill?

Multiple Choice

Harry Potter bought Hedwig a new carrying case for $85. What amount of sales tax must he pay if the sales tax rate is 6%?

• $5.10

• $90.10

• $79.90

• $7.06

Multiple Choice

Thor is getting a hair cut and the price is $35. If he wants to tip 20%, what was the total amount Thor paid?

• $7

• $42

• $28

• $57.14

Multiple Choice

Captain America wants to buy a new helmet priced at $80. If the sales tax is 6%, what is the total amount he must pay for the helmet?

• $4.80

• $84.80

• $75.20

• $1333.33

Mark Up & Mark Down

• Mark up: How much a retailer increases the price over what they paid for it

• Mark Down: A reduction in price

Use percent proportion to solve for Mark Up/Down word problems

• Make sure to READ what the question is asking for

• is it asking for just the mark up amount? or the New price?

• Is it asking for just the mark down amount? or for the new price?

Multiple Choice

The original price of a pair of shoes is $29.99 and their is a mark down of 10% because the shop is having a black friday sale. What is the sale amount of the pair of shoes?

• $2.99

• $32.99

• $27

Multiple Choice

What is the total cost of an piano that costs $1200 with a markup of 75%?

• $2100

• $1275

• $300

• $96.30

Multiple Choice

In the supermarket, the cost of the purchase is $120. You must pay a 6% of taxes. How much is the total amount?

• $126

• $114

• $127.2

• $124

Multiple Percent Problems

Solve the following Mulit - Step Percent Proportion problems

Multiple Choice

Megan bought beads for $9.95. She received a 10% discount. She then paid a sales tax of 6%. How much did she pay for the beads?

• $9.95

• $8.95

• $9.49

• $1.54

Multiple Choice

Sam bought an $85.00 jacket for 40% off of the regular price. There is a 9% sales tax. How much did he pay for the jacket?

• 58.65

• 51

• 36

• 55.59