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# The number of stamps Kaye and Alberto had were in the ratio

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Director
Joined: 27 Jun 2008
Posts: 542
WE 1: Investment Banking - 6yrs
The number of stamps Kaye and Alberto had were in the ratio [#permalink]

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29 Sep 2008, 06:19
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45% (medium)

Question Stats:

60% (02:26) correct 40% (01:25) wrong based on 178 sessions

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The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5. As a result of the gift, Kaye had how many more stamps than Alberto?

A. 20
B. 30
C. 40
D. 60
E. 90

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-number-of-stamps-that-kaye-and-alberto-had-were-in-the-98116.html
[Reveal] Spoiler: OA
Director
Joined: 12 Jul 2008
Posts: 515
Schools: Wharton
Re: The number of stamps Kaye and Alberto had were in the ratio [#permalink]

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29 Sep 2008, 07:01
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pawan203 wrote:
The number of stamps Kaye and Alberto had were in the ratio 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ratio of the number of stamps Kaye had to the number Alberto had was 7:5. As a result of this gift Kaye had how many more stamps than Alberto?

(1) 20
(2) 30
(3) 40
(4) 60
(5) 90

C

K1 = 5x
A1 = 3x

K2 = 5x - 10
A2 = 3x + 10

K2/A2 = 7/5

(5x-10)/(3x+10) = 7/5
5*(5x-10) = 7*(3x+10)
25x - 50 = 21x + 70
4x = 120
x = 30

K2 = 5*30 - 10 = 140
A2 = 3*30 + 10 = 100

K2 - A2 = 40
Intern
Joined: 06 Jul 2011
Posts: 26
Re: The number of stamps Kaye and Alberto had were in the ratio [#permalink]

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09 Nov 2011, 08:53
1
KUDOS
Hi,

I was trying to set up two equations:

K/A = 5/3
(K-10) / (A+10) = 7/5

when solving, I got A = 90 and K = 150, so K-A = 60. Why is this approach wrong?
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15977
Re: The number of stamps Kaye and Alberto had were in the ratio [#permalink]

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13 Oct 2014, 01:44
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Joined: 02 Sep 2009
Posts: 39678
Re: The number of stamps Kaye and Alberto had were in the ratio [#permalink]

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13 Oct 2014, 02:05
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The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5. As a result of the gift, Kaye had how many more stamps than Alberto

A. 20
B. 30
C. 40
D. 60
E. 90

Given: $$\frac{K}{A}=\frac{5x}{3x}$$ (where $$x$$ is a positive integer) and $$\frac{5x-10}{3x+10}=\frac{7}{5}$$ --> $$x=30$$ --> $$K=150$$ and $$A=90$$.

Question: $$(K-10)-(A+10)=?$$ --> $$(K-10)-(A+10)=40$$.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-number-of-stamps-that-kaye-and-alberto-had-were-in-the-98116.html
_________________
Re: The number of stamps Kaye and Alberto had were in the ratio   [#permalink] 13 Oct 2014, 02:05
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