PSLE
Eva spent ¹₉ of her money on a jumpsuit and 2 blazers. The jumpsuit cost 2 times as much as each blazer. Eva spent ³₈ of her remaining money on a necklace. She spent $200 more on the necklace than on the 2 blazers.
(a) What fraction of Eva's money was spent on each blazer?
(b) How much money did Eva have at first?
(a)
Cost of 1 blazer = 1 u

Cost of 2 blazers
= 2 x 1 u
= 2 u

Cost of 1 jumpsuit = 2 u

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

Fraction of Eva's money spent on each blazer
= ¹₄ x ¹₉
= ¹₃₆

(b)
¹₉ of her money = 4 u
⁸₉ of her money = 8 x 4 u = 32 u

Eva's remaining money = 32 u

Cost of the necklace
= ³₈ x 32 u
= 12 u

Amount that Eva spent more on the necklace than on the 2 blazers
= 12 u - 2 u
= 10 u

10 u = 200

1 u = 200 ÷ 10 = 20

⁹₉ of her money = 9 x 4 u = 36 u

Amount that Eva had at first
= 36 u
= 36 x 20
= $720

Answer(s): (a) ¹₃₆ ; (b) $720