PSLE
Gem spent ¹₇ of her money on a jumpsuit and 2 dresses. The jumpsuit cost 2 times as much as each dress. Gem spent ³₈ of her remaining money on a bracelet. She spent $119 more on the bracelet than on the 2 dresses.
(a) What fraction of Gem's money was spent on each dress?
(b) How much money did Gem have at first?
(a)
Cost of 1 dress = 1 u

Cost of 2 dresses
= 2 x 1 u
= 2 u

Cost of 1 jumpsuit = 2 u

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

Fraction of Gem's money spent on each dress
= ¹₄ x ¹₇
= ¹₂₈

(b)
¹₇ of her money = 4 u
⁶₇ of her money = 6 x 4 u = 24 u

Gem's remaining money = 24 u

Cost of the bracelet
= ³₈ x 24 u
= 9 u

Amount that Gem spent more on the bracelet than on the 2 dresses
= 9 u - 2 u
= 7 u

7 u = 119

1 u = 119 ÷ 7 = 17

⁷₇ of her money = 7 x 4 u = 28 u

Amount that Gem had at first
= 28 u
= 28 x 17
= $476

Answer(s): (a) ¹₂₈ ; (b) $476