A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
A) $180
B) $135
C) $90
D) $60
E) $54
The OA is A.
36 is 1/3 of the total of books? Am I right?
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A collection of books went on sale. . . .
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DavidG@VeritasPrep
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Yep. If 36 is 1/3 of the total, then 2/3 of the total would be double 36, or 72. So we want 72* 2.50. Well, 72*2 is 144, so we know the answer is more than that. Has to be AVincen wrote:A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
A) $180
B) $135
C) $90
D) $60
E) $54
The OA is A.
36 is 1/3 of the total of books? Am I right?
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Hi Vincen,
The answer choices to this question are 'spread out' enough that you can use approximation to get to the correct answer. You are correct that 36 books represents 1/3 of the total books. If we 'round down' to 30, and 1/3 of the books = 30, then 2/3 = 60. At $2.50 each, 60 books would be $150. Since we know that were would actually be MORE than 60 books sold though, the total revenue would have to be GREATER than $150. There's only one answer that fits...
Final Answer: A
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Rich
The answer choices to this question are 'spread out' enough that you can use approximation to get to the correct answer. You are correct that 36 books represents 1/3 of the total books. If we 'round down' to 30, and 1/3 of the books = 30, then 2/3 = 60. At $2.50 each, 60 books would be $150. Since we know that were would actually be MORE than 60 books sold though, the total revenue would have to be GREATER than $150. There's only one answer that fits...
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
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EconomistGMATTutor
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Hi Vincen,Vincen wrote:A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
A) $180
B) $135
C) $90
D) $60
E) $54
The OA is A.
36 is 1/3 of the total of books? Am I right?
Let's take a look at your question.
You are correct that 36 is actually 1/3 of the total books.
Let 'x' be the total books then we can write:
x (1/3) = 36
x= (3)(36) = 108
It means the collection of books contains a total of 108 books.
The question states that 2/3 of them were sold each of $2.50
Number of sold books = 108 x (2/3)
= 36 x 2 = 72 books
Now we can calculate the total amount received for the books that were sold.
= 72 x 2.50 = $180
Therefore, Option A is correct.
I am available if you'd like any followup.
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Scott@TargetTestPrep
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Since 2/3 of the books were sold, 1/3 of them were not, and that represents the 36 remaining books. We see that 72 books were sold (since 2/3 is twice 1/3, and 72 is twice 36).Vincen wrote:A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
A) $180
B) $135
C) $90
D) $60
E) $54
Thus, 72 x 2.50 = $180 was made on the sale of those books.
Answer: A
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Matt@VeritasPrep
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You are right!Vincen wrote:A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
A) $180
B) $135
C) $90
D) $60
E) $54
The OA is A.
36 is 1/3 of the total of books? Am I right?
