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Bunuel
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Derek's cell phone bill shows total minutes used for each of two categ 23 Feb 2022, 09:00
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86% (01:04) correct 14% (01:18) wrong based on 58 sessions

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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.
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Derek's cell phone bill shows total minutes used for each of two categ 29 Mar 2022, 14:13
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Bunuel
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.


Hi,

So, let the peak questions be P and off-peak questions be O.

According to the question stem,

We know that P+O = 75. (1)

Now,

Statement 1 says, twice as many off-peak minutes as peak minutes last month

This means, 2O = P (2)

Combining 1 and 2, we can get the value of the off-peak calls.

Statement 2 says, exceeded his allowance of off peak minutes by 25 percent

This means Off peaks calls were actually 100 percent of them + 25 percent of them, in all, 125 percent O.

If we put this in our 1 equation,

125/100 O + P = 75.

Does not give the values of O or P. Hence not sufficient.

I hope I was able to explain this properly.

Dear mentors, please feel free to let me know if there could be anything else added to my solution. :blushing:
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Bunuel
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