PSLE
Roshel spent ¹₉ of her money on a coat and 3 jackets. The coat cost 3 times as much as each jacket. Roshel spent ¹₄ of her remaining money on a bracelet. She spent $126 more on the bracelet than on the 3 jackets.
(a) What fraction of Roshel's money was spent on each jacket?
(b) How much money did Roshel have at first?
(a)
Cost of 1 jacket = 1 u

Cost of 3 jackets
= 3 x 1 u
= 3 u

Cost of 1 coat = 3 u

Cost of 1 coat and 3 jackets
= 3 u + 3 u
= 6 u

Fraction of Roshel's money spent on each jacket
= ¹₆ x ¹₉
= ¹₅₄

(b)
¹₉ of her money = 6 u
⁸₉ of her money = 8 x 6 u = 48 u

Roshel's remaining money = 48 u

Cost of the bracelet
= ¹₄ x 48 u
= 12 u

Amount that Roshel spent more on the bracelet than on the 3 jackets
= 12 u - 3 u
= 9 u

9 u = 126

1 u = 126 ÷ 9 = 14

⁹₉ of her money = 9 x 6 u = 54 u

Amount that Roshel had at first
= 54 u
= 54 x 14
= $756

Answer(s): (a) ¹₅₄ ; (b) $756