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Percent
% Change Word Problems
100

Change a percent to a fraction: 50%

What is 1/2?

100

Change to a percent: 0.75

What is 75%?

100

Find the percent change. 

Original cost: $100 

New cost: $59

(100-59)/100 = 41/100 = .41= 41% 

41% decrease

100

The price of gasoline rose from $3.50 to $3.71 in one week. By what percent did the gas price increase?

6% increase

200

Change a percent to a decimal: 10%

What is 0.10?

200

Change to a percent: 12/100

What is 12%?

200

Find the cost of the tickets after sales tax. 

tickets: $52.50

sales tax: 7%


52.5 * 7% = 52.5 * .07 = 

52.50 + 3.68 = $56.18

200

As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of decrease of the value of the car?

(8500-9559)/8500 = -1059/8500 = -.12

12% decrease

300

Write the percent as a decimal: 125%

What is 1.25?

300

Change to a percent: 0.325

What is 32.5%?

300

Find the cost of the jeans after the discount.

jeans: $39.99 sales

discount: 15%

39.99 * 15% = 39.99 * .15 = 6.00

39.99 - 6.00  = $33.99

300

In 1995, America Online had about 3,000,000 users. Over the next decade, users are expected to increase from a few million to the tens of millions. Suppose the number of users increases by 150% by the year 2000. How many users will there be in the year 2000?

3,000,000 *1.5 = 4,500,000 users

400

Write the percent as a decimal: 6%

What is 0.06?

400

Change to a percent: 2/5

What is 40%?

400

What is the cost of the skates after the discount and tax are applied?

skates: $99.99

discount: 20%

sales tax: 6.75%

99.99 * 20% = 99.99 *.80 = 20.00= 

99.99 - 20.00 = 79.99 *  6.75% = 

79.99 * .0675 = 5.40

79.99 + 5.40 = 85.39

400

Music Systems, Inc. allows a 10% discount if a purchase is paid for within 30 days. An additional 5% discount is given if the purchase is paid for within 15 days. Brent Goodson buys a sound system that originally cost $360. If he pays the entire amount at the time of purchase, how much does he pay for his system after the successive discounts?

360* 10% = 360 * .1 = 360 *.1 = 36.00

360 - 36 = 324 * .5 = 324 * .05 = 16.20

324 - 16.20 = 307.80

500

Write the percent as a decimal: 503%

What is 5.03?

500

Change to a percent: 0.045

What is 4.5%?

500

What is the final cost of the book after the discount and tax?

book: $19.95 

discount: 5%

sales tax: 5%

19.95 *5% = 19.95 *.05 = 1.00 

19.95 - 1.00 = 18.95

18.95 * 5%= .95

18.95 + .95 = 19.90

$19.90

500

Percent change of  16 to 72

350% increase