PSLE
Risa spent ¹₄ of her money on a skirt and 3 windbreakers. The skirt cost 3 times as much as each windbreaker. Risa spent ²₅ of her remaining money on a necklace. She spent $63 more on the necklace than on the 3 windbreakers.
(a) What fraction of Risa's money was spent on each windbreaker?
(b) How much money did Risa have at first?
(a)
Cost of 1 windbreaker = 1 u

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

Cost of 1 skirt = 3 u

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

Fraction of Risa's money spent on each windbreaker
= ¹₆ x ¹₄
= ¹₂₄

(b)
¹₄ of her money = 6 u
³₄ of her money = 3 x 6 u = 18 u

Risa's remaining money = 18 u

Cost of the necklace
= ²₅ x 18 u
= 7.2 u

Amount that Risa spent more on the necklace than on the 3 windbreakers
= 7.2 u - 3 u
= 4.2 u

4.2 u = 63

1 u = 63 ÷ 4.2 = 15

⁴₄ of her money = 4 x 6 u = 24 u

Amount that Risa had at first
= 24 u
= 24 x 15
= $360

Answer(s): (a) ¹₂₄ ; (b) $360