Resources

Resources

Percent of change: word problems

Write an algebraic equation for the following problem and then solve it.

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A town's employment statistics show that

855

of its residents were unemployed last month. This is a decrease of

25 \%

from the previous month. How many residents were unemployed in the previous month?

Last semester, Melissa earned an average test score of

80

points on her math tests. This semester, her average score is

88

points. What is the percent of increase in Melissa's average test score?

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\_\_\_\_\%

The depth of a lake in Centerville changes over time due to rainfall and evaporation. A few months ago, the depth was

65

feet. Currently, the depth is

52

feet. By what percent has the depth of the lake decreased?

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\_\_\_\_\%

Last spring, the drama department at Belleville High School had

30

students audition for the musical. This spring, there were

24

students trying out. What is the percent of decrease in the number of students auditioning?

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\_\_\_\_\%

The Trans-Global Shipping Company has been forced to lay off some workers due to a decrease in revenue. Last year, the company had to lay off

90

people. So far this year, they have had to lay off

30\%

more employees than last year. How many have been laid off this year?

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A beauty magazine had

8,320

subscribers last year. This year, after its parent company made some changes, the magazine had

45\%

fewer subscribers. How many subscribers were there this year?

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____ subscribers

Middletown Theater sold

9,960

tickets to Shakespearean plays last season. This season, the theater sold

95\%

fewer tickets to Shakespearean plays. How many such tickets did the theater sell this season?

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8,890

athletes finished the Sparrowtown Marathon. This year, the number of runners crossing the finish line was

20\%

lower. How many athletes finished the race this year?

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A particular truck in a transportation fleet was driven

171,720

miles last year. In comparison, it was driven

75\%

less this year. How much was the truck driven this year?

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In Greenwood, the average low temperature for January was

44\,^\circ\mathrm{F}

. The average low in February was

25\%

lower. What was the average low in February?

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\_\_\,^\circ\mathrm{F}

For a school project, Julie is investigating cell phone use in her hometown, Campbell. So far, she has found that the residents of Campbell used their cell phones for

219,420

minutes last year. This year, they used their cell phones for a total of

153,594

minutes. What is the percent of decrease in annual usage?

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\_\_\_\_\%

Wells's Solar Systems manufactures solar panels, and their business is growing. Last year, they hired

96

new employees, and this year they have hired

120

new employees. What is the percent of increase in the number of employees hired each year?

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\_\_\_\_\%

Easy Cooking is a cooking supply company. Last year, the company sold a total of

17,090

ovens. This year, they sold

8,545

ovens. What is the percent of decrease in the annual sales of ovens?

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\_\_\_\_\%

The last time he checked, Brandon was

70

inches tall. Brandon just measured himself again and found out that he is

20\%

taller now. How tall is he now?

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\_\_\_\_\_\_

20

consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, he played another string of consecutive games, although this string was

30\%

longer. How many consecutive games was that?

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____ consecutive games

Elizabeth just measured herself and found out she is

51

inches tall. The last time she measured, she was

50

inches tall. What percent taller is Elizabeth now?

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\_\_\_\_\%

Jason attends a private school where he must wear a uniform. Last year, the price of the uniform was

\$68

. This year's uniform price is

25\%

more. How much are uniforms this year?

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\$

The height of a mountain on a tropical island changes due to volcanic activity. When the mountain was last measured, its height was

4,600

meters. Now it is

24\%

taller. How tall is the mountain currently?

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\_\_\_\_

The height of a mountain on a tropical island changes due to volcanic activity. When the mountain was last measured, its height was

4,850

meters. Now it is

18\%

shorter. How tall is the mountain currently?

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\_\_\_\_

Bill planted sunflowers in the community garden. During his last visit to the garden, the plants were

70

inches tall. Today, Bill found them to be

20\%

taller. How tall are the sunflowers now?

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Last month, a carpenter made

8

tables. This month, he made

50\%

fewer tables. How many tables did the carpenter make this month?

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For a school project, Lillian is investigating cell phone use in her hometown, Wildgrove. It turns out that residents of Wildgrove used their cell phones for

455,420

minutes last year. It also turns out that they used them

40\%

less this year. For how many minutes did the residents of Wildgrove use their cell phones this year?

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As part of an ongoing service project, the students at Danville High School recently spent an afternoon planting trees. They planted an average of

2

trees per participant. This month, they plan to do more planting, averaging

50\%

fewer trees per participant this time. What will be the average this month?

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Alvin's salary used to be

\$17,100

. After changing the amount of time he works, Alvin has begun earning

41\%

more. What is Alvin's salary now?

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\$

15\%

fewer seconds than Nolan took to complete his multiplication timed test. Kong took

85

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How many seconds did Nolan take?

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\square

A brand of cereal had

1

2

(\mathrm{mg})

of iron per serving. Then they changed their recipe so they had

1.8 \mathrm{mg}

of iron per serving.

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What was the percent increase in iron?

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\square

\%

In March, William saved

\$ 60

of his pocket money and spent the rest. In April, he saved

25 \%

less and his spending increased by

10 \%

. Given that he had the same amount of pocket money each month, how much was William's pocket money?

5

months of saving money, Nikki had saved

\$350

. She has now been saving for

9

months and has saved

\$690

. Find the percent increase in the amount of Nikki’s savings.

Cooper invests money in an account paying simple interest. He invests

\$ 150

and no money is added or removed from the investment. After one year, he has

\$ 156

. What is the simple percent interest per year?

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Answer:________

\%

Samir went shopping for a new pair of pants. To find the total plus tax, he multiplied the price of the pair of pants by

1

09

. What percent tax did he pay?

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\%

Samantha invests a total of

\$ 21,500

in two accounts. The first account earned a rate of return of

6 \%

(after a year). However, the second account suffered a

3 \%

loss in the same time period. At the end of one year, the total amount of money gained was

\$ 345.00

. How much was invested into each account?

brand of cereal had

1.2\,\text{mg}

of iron per serving. Then they changed their recipe so they had

1.8\,\text{mg}

of iron per serving. What was the percent increase in iron?

In a newspaper, it was reported that yearly robberies in Springfield were down

50 \%

35

2011

2010

. How many robberies were there in Springfield in

2010

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In a newspaper, it was reported that yearly robberies in Springfield were down

25 \%

108

2013

2012

. How many robberies were there in Springfield in

2012

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In a newspaper, it was reported that yearly robberies in Springfield were up

20 \%

186

2014

2013

. How many robberies were there in Springfield in

2013

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In a newspaper, it was reported that the number of yearly robberies in Springfield in

2010

135

, and then went up by

20 \%

2011

. How many robberies were there in Springfield in

2011

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In a newspaper, it was reported that yearly robberies in Springfield were down

20 \%

108

2012

2011

. How many robberies were there in Springfield in

2011

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In a newspaper, it was reported that yearly robberies in Springfield were up

6 \%

265

2012

2011

. How many robberies were there in Springfield in

2011

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In a newspaper, it was reported that the number of yearly robberies in Springfield in

2013

225

, and then went up by

28 \%

2014

. How many robberies were there in Springfield in

2014

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