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Derek's cell phone bill shows total minutes used for each of

by BTGmoderatorLU » Thu Feb 14, 2019 2:54 pm

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Source: Princeton Review

Derek's cell phone bill shows total minutes used for each of two categories: peak minutes and off-peak minutes. If Derek used a total of 75 minutes last month, how many off-peak minutes did he use?

1) Derek used twice as many off-peak minutes as peak minutes last month.
2) Last month, Derek exceeded his allowance of off-peak minutes by 25 percent.

The OA is A
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by Jay@ManhattanReview » Fri Feb 15, 2019 1:42 am

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BTGmoderatorLU wrote:Source: Princeton Review

Derek's cell phone bill shows total minutes used for each of two categories: peak minutes and off-peak minutes. If Derek used a total of 75 minutes last month, how many off-peak minutes did he use?

1) Derek used twice as many off-peak minutes as peak minutes last month.
2) Last month, Derek exceeded his allowance of off-peak minutes by 25 percent.

The OA is A
Given: Derek's cell phone bill shows total minutes used for each of two categories: peak minutes and off-peak minutes. Derek used a total of 75 minutes last month.

We have to determine the number of off-peak minutes he used.

Let's take each statement one by one.

1) Derek used twice as many off-peak minutes as peak minutes last month.

Say the number of peak minutes used = x, thus, the number of off-peak minutes used = 2x;

Thus, x + 2x = 75 => x = 24 minutes. Sufficient.

2) Last month, Derek exceeded his allowance of off-peak minutes by 25 percent.

Insufficient since we do not know his allowance of off-peak minutes.

The correct answer: A

Hope this helps!

-Jay
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