PSLE
Yoko spent ¹₈ of her money on a jumpsuit and 3 windbreakers. The jumpsuit cost 3 times as much as each windbreaker. Yoko spent ⁴₅ of her remaining money on a ring. She spent $826.2 more on the ring than on the 3 windbreakers.
(a) What fraction of Yoko's money was spent on each windbreaker?
(b) How much money did Yoko have at first?
(a)
Cost of 1 windbreaker = 1 u

Cost of 3 windbreakers
= 3 x 1 u
= 3 u

Cost of 1 jumpsuit = 3 u

Cost of 1 jumpsuit and 3 windbreakers
= 3 u + 3 u
= 6 u

Fraction of Yoko's money spent on each windbreaker
= ¹₆ x ¹₈
= ¹₄₈

(b)
¹₈ of her money = 6 u
⁷₈ of her money = 7 x 6 u = 42 u

Yoko's remaining money = 42 u

Cost of the ring
= ⁴₅ x 42 u
= 33.6 u

Amount that Yoko spent more on the ring than on the 3 windbreakers
= 33.6 u - 3 u
= 30.6 u

30.6 u = 826.2

1 u = 826.2 ÷ 30.6 = 27

⁸₈ of her money = 8 x 6 u = 48 u

Amount that Yoko had at first
= 48 u
= 48 x 27
= $1296

Answer(s): (a) ¹₄₈ ; (b) $1296