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A certain book costs $12 more in hardcover than in softcover. If the s

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Bunuel
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A certain book costs $12 more in hardcover than in softcover. If the s [#permalink] New post   08 Jan 2019, 01:16
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A certain book costs $12 more in hardcover than in softcover. If the softcover price is 2/3 of the hardcover price, how much does the book cost in hardcover?

A. $8
B. $15
C. $18
D. $20
E. $36
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E
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Re: A certain book costs $12 more in hardcover than in softcover. If the s [#permalink] New post   08 Jan 2019, 03:34
Bunuel wrote:
A certain book costs $12 more in hardcover than in softcover. If the softcover price is 2/3 of the hardcover price, how much does the book cost in hardcover?

A. $8
B. $15
C. $18
D. $20
E. $36



sc = x
hc= x+12
x+12 * 2/3
x=24
so hc 24+12 = 36 IMO E
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Re: A certain book costs $12 more in hardcover than in softcover. If the s [#permalink] New post   08 Jan 2019, 03:50
IMO E

Easiest way is directly try with the options and only E satisfies the equations

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Re: A certain book costs $12 more in hardcover than in softcover. If the s [#permalink] New post   08 Jan 2019, 05:24
Expert Reply

Solution


Given:
    • A book costs $12 more in hardcover than in softcover
    • The price of softcover book is \(\frac{2}{3}\) of the price of hardcover book

To find:
    • The book cost in hardcover

Approach and Working:
    • Hardcover book cost = $12 + softcover book cost
    • Softcover book cost = \((\frac{2}{3})\) * hardcover book cost

From the above two equations, we get,
    • (Hardcover book cost)/3 = $12

Therefore, hardcover book cost = $12 * 3 = $36

Hence, the correct answer is Option E

Answer: E

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Re: A certain book costs $12 more in hardcover than in softcover. If the s [#permalink] New post   05 Oct 2023, 10:55
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A certain book costs $12 more in hardcover than in softcover. If the s [#permalink]
05 Oct 2023, 10:55
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