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Math Problems
Grade 7
Percent of change: find the original amount word problems
Mackenzie just measured her dog and found out that it weighs
66
kilograms
66\,\text{kilograms}
66
kilograms
, which is
50
%
50\%
50%
more than the last time Mackenzie measured. How much did the dog weigh last time?
\newline
____ kilograms
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According to his running log, Edmond averaged
3
3
3
miles per week this month, which is
70
%
70\%
70%
less than last month. How much did he average last month?
\newline
____ miles
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A family's home is currently worth
$
581
,
958
\$581,958
$581
,
958
, which is
95
%
95\%
95%
higher than the home was worth when they bought it. What was the value of the home when they bought it?
$
\$
$
____
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Since school started, Brad has read
2
2
2
pages per night, on average. That is
80
%
80\%
80%
fewer pages than he averaged over the summer. How many pages per night did Brad average during the summer?
\newline
____ pages
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This month, a vegetarian restaurant used
138
,
193
138,193
138
,
193
ounces of spinach. That is
70
%
70\%
70%
more than last month, when the restaurant had a different menu. How much spinach did the restaurant use last month?
\newline
____ ounces of spinach
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Colton is a sophomore at Manchester College. Tuition this year cost
$
6
,
468
\$6,468
$6
,
468
per semester, which is
5
%
5\%
5%
more than it was last year. What was last year's tuition price?
\newline
$
\$
$
____
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This year,
6
,
612
6,612
6
,
612
athletes runners crossed the finish line at the Dayton Marathon. According to the organizers' records, that is
5
%
5\%
5%
lower than last year. How many runners finished the marathon last year?
\newline
____ athletes
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Rudy recently played
378
378
378
consecutive games of soccer. That is
35
%
35\%
35%
longer than his previous record for consecutive games. How many games was that?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
consecutive games
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The average serving size of beef at restaurants is currently
6
6
6
ounces, which is
20
%
20\%
20%
larger than it was several years ago. What was the previous average serving size?
\newline
____ ounces
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Vince has a cherry tree in his yard. Currently the tree is
51
51
51
feet tall. That is
50
%
50\%
50%
taller than it was when Vince planted it. How tall was the tree then?
\newline
____ feet
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Michelle keeps track of her driving so that she can take a tax deduction. Michelle drove
372
372
372
miles this month, which is
60
%
60\%
60%
less than last month. How much did she drive last month?
\newline
____ miles
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This year, a beauty magazine had
6
,
966
6,966
6
,
966
subscribers. That is
80
%
80\%
80%
more than they had last year, before its parent company made some changes. How many subscribers did the magazine have last year?
\newline
____ subscribers
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Easy Cooking is a cooking supply company. This year, the company sold
32
,
418
32,418
32
,
418
ovens. According to a report prepared by the sales team, that is
10
%
10\%
10%
fewer than they sold last year. How many ovens did they sell last year?
\newline
____ ovens
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This year, Alana and her sister paid
$
114
\$114
$114
each for their annual trip to see 'The Nutcracker' at the Centerville Ballet. That is
20
%
20\%
20%
more expensive than the cost of each ticket last year. What was last year's ticket price?
\newline
$
\$
$
____
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The average amount of rent paid for apartments in Washington is
$
2
,
135
\$2,135
$2
,
135
, which is
22
%
22\%
22%
more than it was last spring. What was the average last spring?
\newline
$
\$
$
____
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Rhianna recently sold some farmland and bought a new plot that consists of
2
,
024
2,024
2
,
024
acres. Rhianna calculates that this is
10
%
10\%
10%
more acreage than she used to own. What was the acreage of the old land?
\newline
_
_
_
_
\_\_\_\_
____
acres
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Wanda has run many marathons and keeps track of all of her finishing times. At her most recent race, she finished in
136
136
136
minutes. That is
20
%
20\%
20%
shorter than her previous race. What was Wanda's finishing time at the previous race?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
minutes
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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
$
20
,
727
\$20,727
$20
,
727
, which is
10
%
10\%
10%
less than it sold for when it was new. What was the original price of the vehicle?
\newline
$
\$
$
____
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Trudy, a professional golfer, has an average score of
102
102
102
points so far this season, which is
20
%
20\%
20%
higher than her average score last season. What was Trudy's average score last season?
\newline
_
_
_
_
\_\_\_\_
____
points
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This month, a carpenter made
9
9
9
tables. That is
50
%
50\%
50%
more than she made last month. How many tables did the carpenter make last month?
\newline
____ tables
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This season, Westford Theater sold
6
,
149
6,149
6
,
149
tickets to Shakespearean plays. That is
30
%
30\%
30%
more than the theater sold last season. How many tickets to Shakespearean plays did the theater sell last season?
\newline
____ tickets
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After changing the amount of time he works, Samuel has begun earning a salary of
$
48
,
854
\$48,854
$48
,
854
. That is
48
%
48\%
48%
less than before. How much did Samuel's salary use to be?
\newline
$
\$
$
____
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Last month, Thompson Trucking Company hauled
1.1
×
1
0
5
1.1 \times 10^5
1.1
×
1
0
5
pounds of produce. That was an increase from the month before, when they hauled
7.5
×
1
0
4
7.5 \times 10^4
7.5
×
1
0
4
pounds of produce. How much more produce did they haul last month than the month before? Write your answer in standard form. Do not use exponents.
\newline
____ pounds
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Joseph's Books sold
741
741
741
bookmarks this year. That is
90
%
90\%
90%
more than the store sold last year. How many bookmarks did Joseph's Books sell last year?
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A family's home is currently worth
$
560
,
097
\$560,097
$560
,
097
, which is
10
%
10\%
10%
lower than the home was worth when they bought it. What was the value of the home when they bought it?
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Cody was
165
c
m
165 \mathrm{~cm}
165
cm
tall on the first day of school this year, which was
10
%
10 \%
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
______
c
m
\mathrm{cm}
cm
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Samantha has a coin collection. She keeps
2
2
2
of the coins in her box, which is
25
%
25 \%
25%
of the collection. How many total coins are in her collection?
\newline
Answer:
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