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In the following exercises, find

  1. the amount of discount
  2. the discount rate
(Round to the nearest tenth of a percent if needed.)

Hilda bought a bedspread on sale for $37 . The original price of the bedspread was $50 .

  1. ⓐ $13
  2. ⓑ 26%

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Tyler bought a phone on sale for $49.99 . The original price of the phone was $79.99 .

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In the following exercises, find

  1. ⓐ the amount of the mark-up
  2. ⓑ the list price

Manny paid $0.80 a pound for apples. He added 60% mark-up before selling them at his produce stand. What price did he charge for the apples?

  1. ⓐ $0.48
  2. ⓑ $1.28

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It cost Noelle $17.40 for the materials she used to make a purse. She added a 325% mark-up before selling it at her friend’s store. What price did she ask for the purse?

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Solve Simple Interest Applications

In the following exercises, solve the simple interest problem.

Find the simple interest earned after 4 years on $2,250 invested at an interest rate of 5% .

$450

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Find the simple interest earned after 7 years on $12,000 invested at an interest rate of 8.5% .

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Find the principal invested if $660 interest was earned in 5 years at an interest rate of 3% .

$4400

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Find the interest rate if $2,898 interest was earned from a principal of $23,000 invested for 3 years.

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Kazuo deposited $10,000 in a bank account with interest rate 4.5% . How much interest was earned in 2 years?

$900

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Brent invested $23,000 in a friend’s business. In 5 years the friend paid him the $23,000 plus $9,200 interest. What was the rate of interest?

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Fresia lent her son $5,000 for college expenses. Three years later he repaid her the $5,000 plus $375 interest. What was the rate of interest?

2.5%

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In 6 years, a bond that paid 5.5% earned $594 interest. What was the principal of the bond?

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Solve Proportions and their Applications

In the following exercises, write each sentence as a proportion.

3 is to 8 as 12 is to 32 .

3 8 = 12 32

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95 miles to 3 gallons is the same as 475 miles to 15 gallons.

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1 teacher to 18 students is the same as 23 teachers to 414 students.

1 18 = 23 414

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$7.35 for 15 ounces is the same as $2.94 for 6 ounces.

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In the following exercises, determine whether each equation is a proportion.

In the following exercises, solve each proportion.

In the following exercises, solve the proportion problem.

The children’s dosage of acetaminophen is 5 milliliters (ml) for every 25 pounds of a child’s weight. How many milliliters of acetaminophen will be prescribed for a 60 pound child?

12

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After a workout, Dennis takes his pulse for 10 sec and counts 21 beats. How many beats per minute is this?

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An 8 ounce serving of ice cream has 272 calories. If Lavonne eats 10 ounces of ice cream, how many calories does she get?

340

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Alma is going to Europe and wants to exchange $1,200 into Euros. If each dollar is 0.75 Euros, how many Euros will Alma get?

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Zack wants to drive from Omaha to Denver, a distance of 494 miles. If his car gets 38 miles to the gallon, how many gallons of gas will Zack need to get to Denver?

13 gallons

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Teresa is planning a party for 100 people. Each gallon of punch will serve 18 people. How many gallons of punch will she need?

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In the following exercises, translate to a proportion.

What number is 62% of 395 ?

n 395 = 62 100

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42 is 70% of what number?

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What percent of 1,000 is 15 ?

15 1000 = p 100

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What percent of 140 is 210 ?

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In the following exercises, translate and solve using proportions.

What number is 85% of 900 ?

765

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6% of what number is $24 ?

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$3.51 is 4.5% of what number?

$78

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What percent of 3,100 is 930 ?

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In the following exercises, convert each percent to

  1. ⓐ a decimal
  2. ⓑ a simplified fraction

In the following exercises, convert each fraction to a percent. (Round to 3 decimal places if needed.)

In the following exercises, solve the percent problem.

65 is what percent of 260 ?

25%

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What number is 27% of 3,000 ?

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150% of what number is 60 ?

40

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Yuki’s monthly paycheck is $3,825 . She pays $918 for rent. What percent of her paycheck goes to rent?

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The total number of vehicles on one freeway dropped from 84,000 to 74,000 . Find the percent decrease (round to the nearest tenth of a percent).

11.9%

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Kyle bought a bicycle in Denver where the sales tax was 7.72% of the purchase price. The purchase price of the bicycle was $600 . What was the total cost?

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Mara received $31.80 commission when she sold a $795 suit. What was her rate of commission?

4%

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Kiyoshi bought a television set on sale for $899 . The original price was $1,200 . Find:

  1. ⓐ the amount of discount
  2. ⓑ the discount rate (round to the nearest tenth of a percent)

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Oxana bought a dresser at a garage sale for $20 . She refinished it, then added a 250% markup before advertising it for sale. What price did she ask for the dresser?

$50

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Find the simple interest earned after 5 years on $3000 invested at an interest rate of 4.2% .

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Brenda borrowed $400 from her brother. Two years later, she repaid the $400 plus $50 interest. What was the rate of interest?

6.2%

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Write as a proportion: 4 gallons to 144 miles is the same as 10 gallons to 360 miles.

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Solve for a: 12 a = −15 65

−52

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Vin read 10 pages of a book in 12 minutes. At that rate, how long will it take him to read 35 pages?

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Practice Key Terms 3

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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