The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.

The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 12 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 8:6. As a result of the gift, Kaye had how many more stamps than Alberto?

Quiz

Answer/Solution

32

Steps/Work

C
K1 = 5x
A1 = 3x
K2 = 5x - 12
A2 = 3x + 12
K2/A2 = 8/6
(5x-12)/(3x+12) = 8/6
6*(5x-12) = 8*(3x+12)
30x - 72 = 24x + 96
6x = 168
x = 28
K2 = 5*28 - 12 = 128
A2 = 3*28 + 12= 96
K2 - A2 = 32
Answer : D