PSLE
Jen spent ¹₄ of her money on a windbreaker and 2 jackets. The windbreaker cost 3 times as much as each jacket. Jen spent ²₃ of her remaining money on a bracelet. She spent $208 more on the bracelet than on the 2 jackets.
(a) What fraction of Jen's money was spent on each jacket?
(b) How much money did Jen have at first?
(a)
Cost of 1 jacket = 1 u

Cost of 2 jackets
= 2 x 1 u
= 2 u

Cost of 1 windbreaker = 3 u

Cost of 1 windbreaker and 2 jackets
= 3 u + 2 u
= 5 u

Fraction of Jen's money spent on each jacket
= ¹₅ x ¹₄
= ¹₂₀

(b)
¹₄ of her money = 5 u
³₄ of her money = 3 x 5 u = 15 u

Jen's remaining money = 15 u

Cost of the bracelet
= ²₃ x 15 u
= 10 u

Amount that Jen spent more on the bracelet than on the 2 jackets
= 10 u - 2 u
= 8 u

8 u = 208

1 u = 208 ÷ 8 = 26

⁴₄ of her money = 4 x 5 u = 20 u

Amount that Jen had at first
= 20 u
= 20 x 26
= $520

Answer(s): (a) ¹₂₀ ; (b) $520