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Estimating with Percents Answers

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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?

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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
2
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Which calculation results in the best estimate of 148% of 203?

A
(200) (140 percent) = (200) (100 percent + 40 percent) = (200) (100 percent) + (200) (40 percent) = (200) (1.0) + (200) (0.4) = 200 + 80 = 280
Option A
B
(210) (140 percent) = (210) (100 percent + 40 percent) = (210) (100 percent) + (210) (40 percent) = (210) (1.0) + (210) (0.4) = 210 + 84 = 294
Option B
C
(200) (150 percent) = (200) (100 percent + 50 percent) = (200) (100 percent) + (200) (50 percent) = (200) (1) + (200) (one-half) = 200 + 100 + 300
Option C
D
(210) (150 percent) = (210) (100 percent + 50 percent) = (210) (100 percent) + (210) (50 percent) = (210) (1) + (210) (one-half) = 210 + 105 = 315
Option D
4

Sergei estimated 149% of 67 by performing the following steps. Which statement is true?

Question illustration
A
The estimate is less than the actual answer because the percent and the number were both rounded down.
B
The estimate is less than the actual answer because the percent and the number were both rounded up.
C
The estimate is greater than the actual answer because the percent and the number were both rounded down.
D
The estimate is greater than the actual answer because the percent and the number were both rounded up.
5

Bernice estimated that 69% of 242 is 168. Is her estimate reasonable?

A
No, because her calculation should be 60% of 250.
B
No, because her calculation should be 70% of 250.
C
Yes, because her calculation should be 60% of 240.
D
Yes, because her calculation should be 70% of 240.
7

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.
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.

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