PSLE
Lynn spent ¹₈ of her money on a windbreaker and 4 jackets. The windbreaker cost 3 times as much as each jacket. Lynn spent ¹₂ of her remaining money on a bracelet. She spent $225.5 more on the bracelet than on the 4 jackets.
(a) What fraction of Lynn's money was spent on each jacket?
(b) How much money did Lynn have at first?
(a)
Cost of 1 jacket = 1 u

Cost of 4 jackets
= 4 x 1 u
= 4 u

Cost of 1 windbreaker = 3 u

Cost of 1 windbreaker and 4 jackets
= 3 u + 4 u
= 7 u

Fraction of Lynn's money spent on each jacket
= ¹₇ x ¹₈
= ¹₅₆

(b)
¹₈ of her money = 7 u
⁷₈ of her money = 7 x 7 u = 49 u

Lynn's remaining money = 49 u

Cost of the bracelet
= ¹₂ x 49 u
= 24.5 u

Amount that Lynn spent more on the bracelet than on the 4 jackets
= 24.5 u - 4 u
= 20.5 u

20.5 u = 225.5

1 u = 225.5 ÷ 20.5 = 11

⁸₈ of her money = 8 x 7 u = 56 u

Amount that Lynn had at first
= 56 u
= 56 x 11
= $616

Answer(s): (a) ¹₅₆ ; (b) $616