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Buy "All-In-One Standard ($149)", get free Daily quiz (2 mon). Coupon code : SPECIAL # M12-33  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 52935 M12-33 [#permalink] ### Show Tags 15 Sep 2014, 23:48 00:00 Difficulty: 15% (low) Question Stats: 79% (01:39) correct 21% (01:51) wrong based on 77 sessions ### HideShow timer Statistics Two books together cost$1.35. If $$\frac{35}{100}$$ of the price of the cheaper book equals $$\frac{28}{100}$$ of the price of the more expensive book, what is the price of the cheaper book?

A. $0.35 B.$0.40
C. $0.55 D.$0.60
E. $0.65 _________________ Math Expert Joined: 02 Sep 2009 Posts: 52935 Re M12-33 [#permalink] ### Show Tags 15 Sep 2014, 23:48 Official Solution: Two books together cost$1.35. If $$\frac{35}{100}$$ of the price of the cheaper book equals $$\frac{28}{100}$$ of the price of the more expensive book, what is the price of the cheaper book?

A. $0.35 B.$0.40
C. $0.55 D.$0.60
E. \$0.65

$$C$$ represents the price of the cheaper book, $$E$$ represents the price of the more expensive book. Build a system of equations:
$$0.35C = 0.28E$$
$$C + E = 1.35$$

From this equation, $$C = 0.60$$.

_________________
Current Student
Joined: 12 Nov 2015
Posts: 59
Location: Uruguay
Concentration: General Management
Schools: Goizueta '19 (A)
GMAT 1: 610 Q41 V32
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### Show Tags

24 Jun 2016, 15:49
I know it's pretty straight forward,
but could someone expand on how to quickly solve this equation? in 2 minutes It tangled up on me,
thank you
Intern
Joined: 04 Jan 2016
Posts: 6

### Show Tags

17 Aug 2016, 06:36
1
divide 0,35/0,28 and you will have 5/4. easier!
Intern
Joined: 30 Jul 2017
Posts: 1

### Show Tags

21 Oct 2018, 02:11
...
C+E=1.35
5C=4E

Therefore,
C=1.35 - E
5(1.35 - E) = 4E
6.75-5E=4E
6.75=9E

E= 6.75 / 9 = 0.75

Hence C is 1.35 - 0.75 = 0.60
Re: M12-33   [#permalink] 21 Oct 2018, 02:11
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# M12-33

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