PSLE
Yen spent ¹₉ of her money on a jumpsuit and 5 dresses. The jumpsuit cost 2 times as much as each dress. Yen spent ³₇ of her remaining money on a necklace. She spent $532 more on the necklace than on the 5 dresses.
(a) What fraction of Yen's money was spent on each dress?
(b) How much money did Yen have at first?
(a)
Cost of 1 dress = 1 u

Cost of 5 dresses
= 5 x 1 u
= 5 u

Cost of 1 jumpsuit = 2 u

Cost of 1 jumpsuit and 5 dresses
= 2 u + 5 u
= 7 u

Fraction of Yen's money spent on each dress
= ¹₇ x ¹₉
= ¹₆₃

(b)
¹₉ of her money = 7 u
⁸₉ of her money = 8 x 7 u = 56 u

Yen's remaining money = 56 u

Cost of the necklace
= ³₇ x 56 u
= 24 u

Amount that Yen spent more on the necklace than on the 5 dresses
= 24 u - 5 u
= 19 u

19 u = 532

1 u = 532 ÷ 19 = 28

⁹₉ of her money = 9 x 7 u = 63 u

Amount that Yen had at first
= 63 u
= 63 x 28
= $1764

Answer(s): (a) ¹₆₃ ; (b) $1764