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Ken is working this summer as part of a crew on a farm. He e...
SAT-math-test SAT math
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Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?

A) 38

B) 33

C) 22

D) 16

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peter
Asked by peterrep:1.7K
University of Lagos Nigeria
30 May 2020

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judziy
Judziy answeredrep:1.9K
University of Benin Nigeria
06 June 2020
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ken initially earns $8 per hour, during the first 10 hours he earned 8 x 10 = $80

For the remaining x hours, he will get a raise to $10 per hour, earning him $10x

Also, Ken saves 90% of all the money he earned.

If he plans to save at least $270, he must work for: 0.9(10x + 80) ≥ 270 hours 

9x + 72 ≥ 270

9x ≥ 270 - 72

9x ≥ 19

x = 198/9

x = 22

Thus, he must work 22 hours to save at least $270

Ans C

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