Mr. Smith purchases books from the bargain bin. He buys only books that cost either $1, $2, or $7 dollars. How many $7 books he buy?
(1) Mr. Smith spends $24 on bargain books.
(2) Mr. Smith buys a total of 10 books.
OA E
Source: Princeton Review
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Mr. Smith purchases books from the bargain bin. He buys only
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BTGmoderatorDC
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Jay@ManhattanReview
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Say the number of $1, $2, and $7 books are x, y, and z, respectively.BTGmoderatorDC wrote:Mr. Smith purchases books from the bargain bin. He buys only books that cost either $1, $2, or $7 dollars. How many $7 books he buy?
(1) Mr. Smith spends $24 on bargain books.
(2) Mr. Smith buys a total of 10 books.
OA E
Source: Princeton Review
We have to get the value of z.
Let's take each statement one by one.
(1) Mr. Smith spends $24 on bargain books.
=> x + 2y + 7z = 24
Can't get the unique value of z. z can be 1, 2 or 3. No unique value. Insufficient.
(2) Mr. Smith buys a total of 10 books.
x + y + z = 10. Clearly insufficient.
(1) and (2)
With x + 2y + 7z = 24 and x + y + z = 10, we can still have z = 1 or 2. No unique value. Insufficient.
The correct answer: E
Hope this helps!
-Jay
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