Resources

Resources

Percent of change: word problems

If one person constructed

20\%

792

foot fence than the second person, how much did the first person build?

1

. After Messi joined the MLS, how much did ticket prices jump by for his games?

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2 x

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3 x

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5 x

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5 x

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2

. Taylor Swift's Era tour boosted hotel occupancy rise by

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20 \%

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30 \%

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40 \%

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50 \%

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3

. Taylor Swift's Era tour boosted hotel prices by

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20 \%

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30 \%

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40 \%

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50

Between which year did the largest decrease in children taking swimming lessons occur?

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1

1990-1991

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2

1991-1992

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3

1992-1993

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4

1993-1994

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5

1994-1995

Parker just started a running plan where he runs

16

miles the first week and then increases the number of miles he runs by

5\%

each week. If he keeps up this plan for

5

weeks, how many total miles would Parker have run, to the nearest whole number?

The cost of a brand new car was

\$ 35000

. After a year, its value dropped by

15 \%

. If sold it at a loss of

\$ 3000

, how much did I sell the car for?

The cost of a brand new car was

\$ 35000

. After a year, its value dropped by

15 \%

1

1

sold it at a loss of

\$ 3000

, how much did I sell the car for?

The Orchard Ridge Zoo has a new red panda. The zoo's board of directors needs to pick a name for the panda and has narrowed down the list to three options. Each board member randomly surveys

20

zoo visitors to see which name is preferred. Here are the data from one board member's sample:

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13

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6

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1

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What percentage of the zoo visitors in this sample prefer the name Rocky?

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\%

The town of Crystal Palms is considering building a public swimming pool. The members of the town council each randomly survey

20

residents to see if there is enough support for the pool. Here are the data from one council member's survey, with Yes indicating support for the pool and No indicating no support:

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12

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5

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3

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What percentage of those surveyed support building the swimming pool?

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Steve has run many marathons and keeps track of all of his finishing times. At a race last month, he finished in

260

minutes. At his next race, he finished with a time that was

20\%

longer. What was his finishing time at the most recent race?

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The last time it placed an order for ingredients, Sweet Treats Bakery ordered

6,730

kilograms of sugar. This time, the bakery is ordering

20\%

more sugar. How much sugar is that?

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A local gym had

54

members last quarter. This quarter, with a change in its rates, it has

81

members. What is the percent of increase in the number of members?

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Clean Machine is Seaside's premier house cleaning service. The company used

6,830

gallons of soap last year, and

50\%

more than that this year. How many gallons of soap did the company use this year?

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2009

\$6,190

in federal income tax. In

2010

90\%

2009

. How much did Chloe pay in

2010

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\$

A magician is training for an underwater escape trick. Upon first trying, she could hold her breath for

66

seconds. Now, using a different technique, she can hold it for

50\%

longer. How long can the magician currently hold her breath?

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Last year, wind turbines along a hilly ridge had an average output of

600

kilowatt hours per year. The turbines were upgraded, and now their average annual output is

73\%

more. What is the new average yearly output?

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____ kilowatt hours

Last year, a gardening store ordered

820,540

potted plants. This year, they ordered

1,517,999

potted plants. What is the percent of increase in the number of potted plants ordered annually?

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Last quarter, a local gym had

95

members. This quarter, with a change in its rates, it has

20\%

fewer. How many members are there now?

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For a school project, Shawn is investigating cell phone use in his hometown, Springtown. It turns out that residents of Springtown used their cell phones for

2,930

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

10\%

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

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Mrs. Garrett is interested in a particular bracelet. Its original price was

\$34

, but it is now marked down by

50\%

. What is the price of the bracelet now?

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\$

The FAA tracks average flight delays. It found that, last year, a particular airline had an average flight delay of

10

minutes. So far this year, the airline has an average that is

50\%

longer. What is the current year's average?

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

1,000

feet. Currently, the lake is

2\%

less deep. What is this year's depth?

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Last year, a lighting supplier called Bright Idea shipped a total of

7,400

lamps to its distributors. This year, the supplier shipped

79\%

more than that. How many lamps did Bright Idea ship this year?

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Josiah is trying to drink more water, so he has been keeping a log of how much water he drinks. Josiah drank

60

ounces of water two days ago. Yesterday, he drank

65\%

more than that amount. How much water did he drink yesterday?

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During summer vacation, Jennifer read, on average,

48

pages per night. Once she returned to school, she averaged

12

pages per night. What is the percent of decrease in Jennifer's reading?

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\%

5

gallons of gas last week. This week, Kylie ended up needing

20\%

less. How much gas is that?

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At the beginning of the week, josh had

32

computer games,

133\%

as many computer games as peter had. By the end of the week, josh gave

25\%

of his computer games to peter. how many computer games did josh and peter each have by the end of the week?

In a particular research database, the number of indexed genetics articles had increased by an average of

307

articles per year for several years. At the end of that time period, there were

6000

genetics articles indexed. Since then, the number of articles has increased by

8\%

annually. To the nearest whole number, how many more genetics articles are there after

2

years of this increase than if the growth rate had not changed?

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On Monday, Harry had

75\%

as many toys as Teddy did. On Tuesday, Harry acquires

32

more toys, and Teddy acquires

15\%

as many toys as he had on Monday. If Harry and Teddy now have the same number of toys, how many toys did Harry have on Monday?

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A small pendulum is released in water. The maximum height that the pendulum reaches each time it swings decreases over time. Every

180

seconds, the pendulum's maximum height is reduced by

90\%

. If the pendulum has been swinging for

360

seconds and now reaches a maximum height of

0.031

centimeters, what was the maximum height of the pendulum, in centimeters, when it was initially released?

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Last year at a certain high school, there were

100

ninth graders on the honor roll and

150

tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by

17\%

and the number of tenth graders on the honor roll increased by

24\%

. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

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1945

2008

, one country's per capita gross domestic product (GDPPC) increased about

6\%

per year, ending at

\$19,600

. For the next few years, the growth slowed to an increase of about

\$1,300

per year. To the nearest dollar, how much less did the GDPPC grow during the next

6

years than it would have if it had maintained its earlier growth rate?

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\square

A swimming pool had

2.5

million liters of water in it. Some water evaporated, and then the pool only had

2

million liters of water in it.

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What percent of the water evaporated?

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\square

\%

Zaid and Matias, two farmers, constructed a

792

-foot fence around their very large garden. If Zaid constructed

20\%

more of the fence than Matias did, how many feet of the fence did Zaid construct?

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\square

Carson invested

\$2000

in an investment account that earns

5\%

interest compounded continuously. How much money will she have in her account at the end of her

8

th year of investing?

Mrs Ang sold some cakes in January. In February, she decreased the price of each cake by

20 \%

40 \%

more cakes than in January. Given that she earned

\$ 234

more from the sale of cakes in February than in January, how much money did she earn in February?

In a community service class in the fall,

3

15

class sessions were lectures, while all others were devoted to fieldwork in parks. In the spring, the number of sessions devoted to fieldwork remained the same, but the total number of sessions increased to

18

. In the spring, what percent of class sessions were lectures?

You have inherited land that was purchased for

\$ 30,000

1960

. The value of the land increased by approximately

5 \%

per year. What is the approximate value of the land in the year

2011

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\$ 15,000

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\$ 344,022

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\$ 31,500

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\$ 28,500

A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is

20 \%

more than the number of shoppers the day before. The total number of shoppers over the first

4

671

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How many shoppers were at the mall on the first day?

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Round your final answer to the nearest integer.

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\square

Happy Town had a circus performance during the school holidays.

20\%

of the people were performers and the rest were audience. Female performers were twice the number of male performers.

60\%

of the audience were male and there were

1200

more male audience than female audience. After some males left the circus,

20\%

of the remaining people in the circus were male. How many males left the circus?

2013

, the population of Nevada and North Carolina were each growing at a rate of approximately

3.3\%

per year. In addition, the US Census Bureau estimated that the population of Nevada and North Carolina was

2.8

9.8

million people, respectively. If the population growth rates in each of these states remained the same, approximately how many more people were living in North Carolina compared to Nevada in

2014

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Keegan makes a deposit into her savings account at the beginning of the year. The account earns

3 \%

simple interest each year. She has

\$ 360.50

in her account at the end of the year. If Keegan did not make any additional deposits or withdrawals during the year, ho much did she deposit into the account at the beginning of the year?

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\$ 10.82

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\$ 277.31

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\$ 350.00

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\$ 371.32

John is a quarterback. Till October, he completed

350

passes, and plans to add

20 \%

to this number by end of the year. How many passes will John attempt this year?

The swimming pool is open when the high temperature is higher than

20 \, ^{\circ}\mathrm{C}

. Lainey tried to swim on Monday and Thursday (which was days

3

later). The pool was open on Monday, but it was closed on Thursday. The high temperature was

30 \, ^{\circ}\mathrm{C}

on Monday, but decreased at a constant rate in the next

3

days. Write an inequality to determine the rate of temperature decrease in degrees Celsius per day,

d

, from Monday to Thursday

2010

, the population of a city was

240,000

2010

2015

, the population grew by

5.3\%

2015

2020

3.5\%

. To the nearest whole number, by what percent did the city grow from

2010

2020

Dominic bought stock in a company two years ago that was worth

x

dollars. During the first year that he owned the stock, it increased by

31\%

. During the second year the value of the stock increased by

6\%

. Write an expression in terms of

x

that represents the value of the stock after the two years have passed.

In one community college, the cost per credit hour for in-state students has been increasing by

\$3

a year. In another community college, it has been increasing by

9\%

per year. This year, the cost is

\$65

at both colleges. To the nearest dollar, what was the positive difference in costs

2

A tree increases its number of nuts at the rate of

100\%

every year. What was the number of nuts

5

years ago, if this year it gave

3,200

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500

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100

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320

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640

One year, the population of a city was

392

000

. Several years later it was

427

280

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Find the percent increase.

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Answer: ________

\%

One year, the population of a city was

376

000

. Several years later it was

338

400

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Find the percent decrease.

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Answer:________

\%

Marques has a loyalty card good for a discount at his local pharmacy. The item he wants to buy is priced at

\$ 7

, before discount and tax. After the discount, and before tax, the price is

\$ 6.58

. Find the percent discount.

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\%