Ratios
Proportions
Solving Percents
Tax, Tip, Discount, Error
Decimal to Percents to Fractions
100

What are the two different ways to write a ratio algebraically?

A/B

A:B

100

What method do we use when solving proportions?

Cross Multiplication

100

What is the percent proportion? 

part/whole = %/100

100

Two friends went to dinner and the total was $27.60.  If they decide to leave a 20% tip, how much money did they leave for a tip?

What is $5.52?


100

Write 93% as a fraction.

93/100

200

My music department has 6 guitars, 4 microphones, 2 banjos, and 5 amplifiers. What is the ratio of banjos to microphones. (simplify if necessary)


2/4 simplifies to 1/2

2:4 simplifies to 1:2

200

4/20 = 5/x

X = 25

200

2 is what percent of 50?

4

200

Tommy wanted a new laptop that cost $1350.  If he has a coupon for 30% off, how much does he pay for the laptop?

$945

(1350 - 405)

200

Write 8% as a decimal.

0.08

300

My music department has 6 guitars, 4 microphones, 2 banjos, and 5 amplifiers. What is the ratio of amplifiers to total equipment? (simplify, if necessary)

5:17

5/17

300

7/3 = 14/x

x = 6

300

What is 30% of 50?

15

300

On a shopping spree at Sephora, Andie's subtotal was $65 in skin care products.  If the sales tax is 9%, what was the final cost of the products?

$70.85

(65 + 5.85)

300

Write 0.743 as a percent

74.3%

400

Give a common example of a unit rate.


Examples: miles per hour, miles per gallon, cost per unit, pay per hour


400

x/9 = 63/27

x = 21

400

75 is 20% of what number?

375

400

The meteorologist at Channel 8 News predicted that a snowstorm would drop 7 inches of snow. After the storm, she reported that the actual snowfall was 4 inches. What is the percent error for the meteorologist's prediction?

percent error=amount of error/correct amount


3/4 = 0.75  75% error

400

Write 0.143 as a fraction

143/1000  

500

If I drove 180 miles in 6 hours, how many miles did I drive per hour?

180/6 = 30 mph

500

Jennifer's class is a ratio of 4 boys to 5 girls. If Jennifer's class has 16 boys in it, how many girls are in the class?

20 girls

500

Mandy got 48 questions correct out of 60 questions on her most recent test. What percent did she receive?

48/60= x/100

x=80%

500

Tom and Jerry went to dinner and order $50 worth of food. They have a coupon for 15% off, but they also have to pay 7% tax.  So, how much was the total bill?

50 -7.50 =42.50

42.50 + 2.975=45.475 rounds to $45.48

500

Write 3/8 as a decimal

0.375

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