If the total price for n copies of a book is $31.5, what is the price per copy of the book?

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Source: Princeton Review

If the total price for n copies of a book is $31.5, what is the price per copy of the book?

1) If twice as many copies were bought for the same total price, the price per copy would be $1.75.
2) If 4 fewer copies were bought for the same total price, the price per copy would be $2.80 greater.

The OA is D

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BTGmoderatorLU wrote:
Tue Mar 31, 2020 2:05 am
Source: Princeton Review

If the total price for n copies of a book is $31.5, what is the price per copy of the book?

1) If twice as many copies were bought for the same total price, the price per copy would be $1.75.
2) If 4 fewer copies were bought for the same total price, the price per copy would be $2.80 greater.

The OA is D
Let's take each statement one by one.

1) If twice as many copies were bought for the same total price, the price per copy would be $1.75.

=> the price per copy of the book = 2*1.75 = $3.50. Sufficient

2) If 4 fewer copies were bought for the same total price, the price per copy would be $2.80 greater.

=> 31.50/n = 31.50/(n – 4) – 2.80

We can get the unique value of n. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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