PSLE
Eva spent ¹₉ of her money on a coat and 5 windbreakers. The coat cost 2 times as much as each windbreaker. Eva spent ⁵₈ of her remaining money on a ring. She spent $330 more on the ring than on the 5 windbreakers.
(a) What fraction of Eva's money was spent on each windbreaker?
(b) How much money did Eva have at first?
(a)
Cost of 1 windbreaker = 1 u

Cost of 5 windbreakers
= 5 x 1 u
= 5 u

Cost of 1 coat = 2 u

Cost of 1 coat and 5 windbreakers
= 2 u + 5 u
= 7 u

Fraction of Eva's money spent on each windbreaker
= ¹₇ x ¹₉
= ¹₆₃

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

Eva's remaining money = 56 u

Cost of the ring
= ⁵₈ x 56 u
= 35 u

Amount that Eva spent more on the ring than on the 5 windbreakers
= 35 u - 5 u
= 30 u

30 u = 330

1 u = 330 ÷ 30 = 11

⁹₉ of her money = 9 x 7 u = 63 u

Amount that Eva had at first
= 63 u
= 63 x 11
= $693

Answer(s): (a) ¹₆₃ ; (b) $693