Resources

Resources

Percent of change: find the original amount word problems

Keith and his friends are heading to the Thunder Beach water park. They plan to purchase the group package, which costs

\$78

6

\$3

less per person than the normal cost for an individual. What is the normal cost for an individual?

\newline

\$

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

\newline

A town's employment statistics show that

867

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

15 \%

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

Dr. Lambert, a farm veterinarian, just weighed a pig and found out that it is

9\,\text{kilograms}

10\%

less than the last time he checked. How much did the pig weigh last time?

\newline

This year, Tea Off served a total of

1,026

cups of chamomile tea to its customers. The manager notes that this number is

40\%

lower than the last year. How many cups of chamomile tea did the cafe serve last year?

\newline

This year, Michael gave

234

piano performances. That is

40\%

fewer than last year. How many times did Michael perform last year?

\newline

____ piano performances

Under new management, Oakdale Hardware keeps an inventory of

1,141,119

lawnmowers. That is

18\%

more lawnmowers than they had on hand in the past. How many lawnmowers did the company keep in inventory back then?

\newline

____ lawnmowers

Pamela has been keeping an eye on an emerald ring she likes. She just noticed that it has been marked down to

\$18,284

60\%

less than its original price. What was the original price of the ring?

\newline

\$

At the end of the year, cars made in the current year are marked down to make room for next year's models. One particular model has a sale price of

\$41,705

5\%

less than it sold for when it was new. What was the original price of the vehicle?

\newline

\$

Greenville's current population is

9,708

residents, which is

20\%

larger than at the time of its founding. What was the population of Greenville back then?

\newline

Now that Westford Auto Repair has a different owner, its mechanics make

\$42

per hour. That is

5\%

more than they originally made. How much did the mechanics use to make per hour?

\newline

\$

This season, Stamford Theater sold

11,037

tickets to Shakespearean plays. That is

95\%

more than the theater sold last season. How many tickets to Shakespearean plays did the theater sell last season?

\newline

\$649

15\%

off the regular price. What is the regular price?

The cheerleading squad at Kingwood High School currently has

21

members. That is

5\%

more than were on it with the old coach. How many members were on the squad before?

\newline

This year, Owen's Solar Systems, a growing solar panel manufacturer, hired

96

new employees. That is

20\%

more than were hired last year. How many new employees were hired last year?

\newline

____ new employees

The PTA at Danville High School hosts a dinner and auction every year to raise money for music and art programs. This year's event raised

\$72,837

10\%

less than last year's. How much was raised last year?

\newline

\$

Mandy is looking over her credit card statements from the past couple of months. There is a balance of

\$8,790

this month, which is

50\%

less than last month. What was the balance last month?

\newline

\$

This year's student population at Bowman Elementary School is

296

students. That is

20\%

smaller than it used to be, prior to rezoning. What was the previous student population?

\newline

The students at Newton High School have been planting trees as part of an ongoing service project. This month, they averaged

6

trees per participant. That is

25\%

fewer trees than their average the last time they did it. What was their average last time?

\newline

This year's student population at Griffin Elementary School is

1,029

students. That is

5\%

larger than it used to be, prior to rezoning. What was the previous student population?

\newline

Trisha recently played

77

consecutive games of soccer. That is

30\%

shorter than her previous record for consecutive games. How many games was that?

\newline

____ consecutive games

Judith has been keeping an eye on an emerald ring she likes. She just noticed that it has been marked down to

\$4,195

50\%

less than its original price. What was the original price of the ring?

\newline

\$

A software company in Bluepoint currently bills clients

\$297

per hour for work done by its consultants. That is

1\%

less than the company used to charge before adjusting its rates. What was the previous hourly billing rate?

\newline

\$

Today, Bonnie bought

17

apples from her local farmers' market. That number is

70\%

higher than the number of apples Bonnie bought a few weeks ago. How many apples did Bonnie buy then?

\newline

Alexandra is trying to drink more water, so she has been keeping a log of how much water she drinks. Yesterday, Alexandra drank

12

ounces of water. That is

25\%

less than she drank two days ago. How much water did Alexandra drink two days ago?

\newline

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

37

minutes. That is

85\%

longer that the airline's average for the previous year. What was its average flight delay last year?

\newline

A magician is training for an underwater escape trick. Using a new technique, she can hold her breath for

57

seconds. That is

50\%

more than she was able to do when she first tried. How long could the magician hold her breath when she first tried?

\newline

John is a quarterback. This year, he completed

350

passes, which is

70\%

of all the passes he's thrown this year. How many passes has John thrown this year?

\newline

The schoolyard has

12

trees. The number of maple trees is

3

less than twice the number of oak trees. How many maple trees are there in the schoolyard?

25

points in yesterday's game. That was

3

more than twice the number of points Alex scored.

John is a quarterback. This year, he completed

350

passes, which is

70\%

of all the passes he's attempted this year.

\newline

How many passes has John attempted this year?

\newline

Haruka hiked several kilometers in the morning. She hiked only

6

kilometers in the afternoon, which was

25\%

less than she had hiked in the morning. How many kilometers did Haruka hike in all?

\newline

\square

John is a quarterback. This year, he completed

350

passes, which is

70 \%

of all the passes he's attempted this year.

\newline

How many passes has John attempted this year?

\newline

When a grizzly bear hibernates, its heart rate drops to

10

beats per minute, which is

20 \%

of its normal value.

\newline

What is a grizzly bear's normal heart rate when not hibernating?

\newline

beats per minute

165 \mathrm{~cm}

tall on the first day of school this year, which was

10 \%

taller than he was on the first day of school last year.

\newline

How tall was Cody on the first day of school last year?

\newline

\mathrm{cm}

Haruka hiked several kilometers in the morning. She hiked only

6

kilometers in the afternoon, which was

25 \%

less than she had hiked in the morning.

\newline

How many kilometers did Haruka hike in all?

\newline

John is a quarterback. This year, he completed

350

passes, which is

70 \%

of all the passes he's thrown this year. How many passes has John thrown this year?

When a grizzly bear hibernates, its heart rate drops to

10

beats per minute, which is

20 \%

of its normal value. What is a grizzly bear's normal heart rate, in beats per minute, when not hibernating?

During an activity analysis, a human resources manager determined that an employee spent

1

7

hours making work calls one week, which was

4 \%

of the employee's total work hours for the week. How many hours did the employee work?