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PS: Ratios of Stamps

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Intern
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PS: Ratios of Stamps [#permalink]

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New post 03 Mar 2009, 10:44
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The number of stamps that Kaye and Alberto had were in the ratio 5:3, respectively. After Kaye gave Alberto 10 of her stamps, the ratio of the number Kaye had to the number Alberto had was 7:5. As a result of this gift, Kaye had now many more stamps than Alberto?

a) 20
b) 30
c) 40
d) 60
e) 90

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Senior Manager
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Re: PS: Ratios of Stamps [#permalink]

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New post 03 Mar 2009, 11:35
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Let X be the common factor.
No of stamps Kaye will have is 5x
No of stamps alberto will have is 3x.

Since Kaye gave 10 stamps to alberto, 10 gets reduced from 5x and added to 3x. Now representing this in the ratio format and equating it to the given ration, we have

(5x-10)/(3x+10) = 7 / 5

Solving the eq, we get x = 30.

Now Kaye will be having 5x - 10 = 140
Alberto will be having 3x+10 = 100.

So No of additional stamps with Kaye will be 140-100 = 40.

IMO C.

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Manager
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Re: PS: Ratios of Stamps [#permalink]

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New post 03 Mar 2009, 11:41
bmiller0731 wrote:
The number of stamps that Kaye and Alberto had were in the ratio 5:3, respectively. After Kaye gave Alberto 10 of her stamps, the ratio of the number Kaye had to the number Alberto had was 7:5. As a result of this gift, Kaye had now many more stamps than Alberto?

a) 20
b) 30
c) 40
d) 60
e) 90


_____________________________________________________________________________________________________________________________________________

5y=3x
5(x-10)=7(y+10)

solve for x and y

answer C

Kudos [?]: 12 [0], given: 2

Intern
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Joined: 03 Feb 2009
Posts: 27

Kudos [?]: 24 [0], given: 0

Schools: Duke, UNC, Emory, Ga Tech, Vanderbilt, Indiana, Wash U, Texas, Rollins
Re: PS: Ratios of Stamps [#permalink]

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New post 03 Mar 2009, 12:02
Thanks. I appreciate the help.

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Director
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Re: PS: Ratios of Stamps [#permalink]

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New post 17 Jul 2009, 18:47
guys I am getting the answer as (D)?

3x=5y
5(x-10)=7(y+10)

Solvng I am getting y=90 and x=150?Where did I go wrong?
_________________

http://gmatclub.com/forum/countdown-beginshas-ended-85483-40.html#p649902

Kudos [?]: 1232 [0], given: 100

Director
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Re: PS: Ratios of Stamps [#permalink]

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New post 21 Jul 2009, 15:20
tejal777 wrote:
guys I am getting the answer as (D)?

3x=5y
5(x-10)=7(y+10)

Solvng I am getting y=90 and x=150?Where did I go wrong?



you forgot to add 10 to Albert and subtract 10 from Kaye

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Manager
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Re: PS: Ratios of Stamps [#permalink]

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New post 21 Jul 2009, 19:46
5x-10/3x+10 = 7/5 solve for x.(c)

Kudos [?]: 34 [0], given: 11

Re: PS: Ratios of Stamps   [#permalink] 21 Jul 2009, 19:46
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PS: Ratios of Stamps

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