Math Ratio P6 My Pals Are Here Page 103

Question

Janice and Siti had some money in the ratio 2:3. After each of them spent $32 on a school bag, Janice had 3/5 as much money as Siti. How much money did Siti have in the end?

Answer 1

j/s = 2/3, j = (2/3)s

j - 32 = (s - 32)(3/5)

Substitute:

(2/3)s - 32 = (s - 32)(3/5)

(2/3)s - 32 = (3/5)s - (96/5)

(10/15)s - (160/5) = (9/15)s - (96/5)

(1/15)s = (64/5)

s = (64/5)(15)

s = 192

j/192 = 2/3

3j = 2(192)

j = 128