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At a used book store, the books are divided into hardcovers, which sel

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At a used book store, the books are divided into hardcovers, which sel  [#permalink]

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New post 07 Nov 2019, 03:21
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Question Stats:

46% (01:50) correct 54% (01:48) wrong based on 26 sessions

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At a used book store, the books are divided into hardcovers, which sell for $5 each, and paperbacks, which sell for $2 each. If Gideon bought 22 books in all at this store, did he buy more hard covers than paperbacks?

(1) Gideon spent a total of $74 on books at this store.

(2) Gideon spent $26 more on hardcovers than on paperbacks.


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Re: At a used book store, the books are divided into hardcovers, which sel  [#permalink]

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New post 07 Nov 2019, 12:05
given
Price of HC = 5$ and PB 2$
HC+PB = 22
find HC-PB
#1

Gideon spent a total of $74 on books at this store.
5*HC+2*PB=74
we get various integer value insufficient
#2
Gideon spent $26 more on hardcovers than on paperbacks.
5*HC=26+2*PB
and
HC+PB=22
sufficient
solve
PB=12 ; HC = 10
so 50-24 ; 26$
IMO B

Bunuel wrote:
At a used book store, the books are divided into hardcovers, which sell for $5 each, and paperbacks, which sell for $2 each. If Gideon bought 22 books in all at this store, did he buy more hard covers than paperbacks?

(1) Gideon spent a total of $74 on books at this store.

(2) Gideon spent $26 more on hardcovers than on paperbacks.


Are You Up For the Challenge: 700 Level Questions
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At a used book store, the books are divided into hardcovers, which sel  [#permalink]

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New post 14 Nov 2019, 11:26
Bunuel wrote:
At a used book store, the books are divided into hardcovers, which sell for $5 each, and paperbacks, which sell for $2 each. If Gideon bought 22 books in all at this store, did he buy more hard covers than paperbacks?

(1) Gideon spent a total of $74 on books at this store.

(2) Gideon spent $26 more on hardcovers than on paperbacks.


Are You Up For the Challenge: 700 Level Questions


Let number of Hardcover books be H and number of paper back books be P , then:

We know H+P=22

(1) Gideon spent a total of $74 on books at this store.
5H +2P=74
H+P=22
Two variables and two unique equations - SUFF.


(2) Gideon spent $26 more on hardcovers than on paperbacks
5H-2P=26
H+P=22
Again two variables and two unique equations - SUFF.

Ans- D
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At a used book store, the books are divided into hardcovers, which sel   [#permalink] 14 Nov 2019, 11:26
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