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Question 8 (nov. 15th)

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Question 8 (nov. 15th)

by bacali » Sat Nov 15, 2008 5:02 pm
The number of stamps that Kaye and Alberto had were in the ratio 5:3, respectively. After Kyle 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 how many more stamps than Alberto?

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


OA: C
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by dmateer25 » Sat Nov 15, 2008 5:39 pm
k/a = 5/3
5a=3k (i)

(k-10)/(a+10) = 7/5
5k-50=7a+70 (ii)

Solving with the 2 equations you get k=150 and a=90

after the gift of 10 stamps k=140 and a=100

Kaye has 40 more stamps after the gift
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