Estimating with Percents Answers

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1
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A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height.

A
400 meters
B
350 meters
C
450 meters
D
480 meters
2
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Which is the best estimate of 162% of 79?

A
112
B
119
C
128
D
136
5

Christina estimated 188% of 91 by performing these steps. What did she do wrong?

Question illustration
A
She rounded 188% up to 190%.
B
She rounded 91 down to 90.
C
She incorrectly broke 190% into .
Option C
D
She incorrectly multiplied 90 and 0.9.
6

The price of a pair of jeans was $31, but due to an increase the price went up to 129% of what it was originally. Which is the best estimate of the current price of the pair of jeans?

A
$36
B
$39
C
$48
D
$52
7

Kurt and Maria’s high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the goal has been reached.Kurt estimated the number of pounds of newspapers collected by finding 10% of 3,600 and then multiplying the result by 2.Maria estimated the number of pounds of newspapers collected by finding of 3,600. Who is right, and why?

Question illustration
A
Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.
B
Kurt is right, because finding of 3,600 is not a good way to approximate 21% of 3,585.
Option B
C
Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.
D
Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding of 3,600.
Option D
9

LaVonne estimated 38% of 63 by rounding 38% up to 40%, rounding 63 up to 70, and then multiplying 70 by 0.4 to get 28. Is her estimate reasonable?

A
No, because she should have rounded 38% down to 30%.
B
No, because she should have rounded 63 down to 60.
C
Yes, because she correctly rounded 38% up to 40%.
D
Yes, because she correctly rounded 63 up to 70.
10

The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill. Which calculation results in the best estimate of the total amount they will pay in dollars? Assume there is no tax.

A
(50) (110 percent) = (50) (100 percent + 10 percent) = (50) (100 percent) + (50) (10 percent) = (50) (1.0) + (50) (0.1) = 50 + 5 = 55
Option A
B
(50) (120 percent) = (50) (100 percent + 20 percent) = (50) (100 percent) + (50) (20 percent) = (50) (1.0) + (50) (0.2) = 50 + 10 = 60
Option B
C
(60) (110 percent) = (60) (100 percent + 10 percent) = (60) (100 percent) + (60) (10 percent) = (60) (1.0) + (60) (0.1) = 60 + 6 = 66
Option C
D
(60) (120 percent) = (60) (100 percent + 20 percent) = (60) (100 percent) + (60) (20 percent) = (60) (1.0) + (60) (0.2) = 60 + 12 = 72
Option D

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