PSLE
Jaslyn spent ¹₃ of her money on a jumpsuit and 2 vests. The jumpsuit cost 2 times as much as each vest. Jaslyn spent ³₄ of her remaining money on a necklace. She spent $60 more on the necklace than on the 2 vests.
(a) What fraction of Jaslyn's money was spent on each vest?
(b) How much money did Jaslyn have at first?
(a)
Cost of 1 vest = 1 u

Cost of 2 vests
= 2 x 1 u
= 2 u

Cost of 1 jumpsuit = 2 u

Cost of 1 jumpsuit and 2 vests
= 2 u + 2 u
= 4 u

Fraction of Jaslyn's money spent on each vest
= ¹₄ x ¹₃
= ¹₁₂

(b)
¹₃ of her money = 4 u
²₃ of her money = 2 x 4 u = 8 u

Jaslyn's remaining money = 8 u

Cost of the necklace
= ³₄ x 8 u
= 6 u

Amount that Jaslyn spent more on the necklace than on the 2 vests
= 6 u - 2 u
= 4 u

4 u = 60

1 u = 60 ÷ 4 = 15

³₃ of her money = 3 x 4 u = 12 u

Amount that Jaslyn had at first
= 12 u
= 12 x 15
= $180

Answer(s): (a) ¹₁₂ ; (b) $180