PSLE
Jaslyn spent ¹₇ of her money on a jacket and 4 windbreakers. The jacket cost 2 times as much as each windbreaker. Jaslyn spent ³₅ of her remaining money on a ring. She spent $492.8 more on the ring than on the 4 windbreakers.
(a) What fraction of Jaslyn's money was spent on each windbreaker?
(b) How much money did Jaslyn have at first?
(a)
Cost of 1 windbreaker = 1 u

Cost of 4 windbreakers
= 4 x 1 u
= 4 u

Cost of 1 jacket = 2 u

Cost of 1 jacket and 4 windbreakers
= 2 u + 4 u
= 6 u

Fraction of Jaslyn's money spent on each windbreaker
= ¹₆ x ¹₇
= ¹₄₂

(b)
¹₇ of her money = 6 u
⁶₇ of her money = 6 x 6 u = 36 u

Jaslyn's remaining money = 36 u

Cost of the ring
= ³₅ x 36 u
= 21.6 u

Amount that Jaslyn spent more on the ring than on the 4 windbreakers
= 21.6 u - 4 u
= 17.6 u

17.6 u = 492.8

1 u = 492.8 ÷ 17.6 = 28

⁷₇ of her money = 7 x 6 u = 42 u

Amount that Jaslyn had at first
= 42 u
= 42 x 28
= $1176

Answer(s): (a) ¹₄₂ ; (b) $1176