PSLE
Risa spent ¹₄ of her money on a sweater and 5 blazers. The sweater cost 2 times as much as each blazer. Risa spent ²₃ of her remaining money on a bracelet. She spent $90 more on the bracelet than on the 5 blazers.
(a) What fraction of Risa's money was spent on each blazer?
(b) How much money did Risa have at first?
(a)
Cost of 1 blazer = 1 u

Cost of 5 blazers
= 5 x 1 u
= 5 u

Cost of 1 sweater = 2 u

Cost of 1 sweater and 5 blazers
= 2 u + 5 u
= 7 u

Fraction of Risa's money spent on each blazer
= ¹₇ x ¹₄
= ¹₂₈

(b)
¹₄ of her money = 7 u
³₄ of her money = 3 x 7 u = 21 u

Risa's remaining money = 21 u

Cost of the bracelet
= ²₃ x 21 u
= 14 u

Amount that Risa spent more on the bracelet than on the 5 blazers
= 14 u - 5 u
= 9 u

9 u = 90

1 u = 90 ÷ 9 = 10

⁴₄ of her money = 4 x 7 u = 28 u

Amount that Risa had at first
= 28 u
= 28 x 10
= $280

Answer(s): (a) ¹₂₈ ; (b) $280