PSLE
Julie spent ¹₉ of her money on a coat and 3 windbreakers. The coat cost 2 times as much as each windbreaker. Julie spent ¹₂ of her remaining money on a necklace. She spent $238 more on the necklace than on the 3 windbreakers.
(a) What fraction of Julie's money was spent on each windbreaker?
(b) How much money did Julie have at first?
(a)
Cost of 1 windbreaker = 1 u

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

Cost of 1 coat = 2 u

Cost of 1 coat and 3 windbreakers
= 2 u + 3 u
= 5 u

Fraction of Julie's money spent on each windbreaker
= ¹₅ x ¹₉
= ¹₄₅

(b)
¹₉ of her money = 5 u
⁸₉ of her money = 8 x 5 u = 40 u

Julie's remaining money = 40 u

Cost of the necklace
= ¹₂ x 40 u
= 20 u

Amount that Julie spent more on the necklace than on the 3 windbreakers
= 20 u - 3 u
= 17 u

17 u = 238

1 u = 238 ÷ 17 = 14

⁹₉ of her money = 9 x 5 u = 45 u

Amount that Julie had at first
= 45 u
= 45 x 14
= $630

Answer(s): (a) ¹₄₅ ; (b) $630