PSLE
Anna spent ¹₄ of her money on a jacket and 5 shirts. The jacket cost 3 times as much as each shirt. Anna spent ⁴₅ of her remaining money on a ring. She spent $312.4 more on the ring than on the 5 shirts.
(a) What fraction of Anna's money was spent on each shirt?
(b) How much money did Anna have at first?
(a)
Cost of 1 shirt = 1 u

Cost of 5 shirts
= 5 x 1 u
= 5 u

Cost of 1 jacket = 3 u

Cost of 1 jacket and 5 shirts
= 3 u + 5 u
= 8 u

Fraction of Anna's money spent on each shirt
= ¹₈ x ¹₄
= ¹₃₂

(b)
¹₄ of her money = 8 u
³₄ of her money = 3 x 8 u = 24 u

Anna's remaining money = 24 u

Cost of the ring
= ⁴₅ x 24 u
= 19.2 u

Amount that Anna spent more on the ring than on the 5 shirts
= 19.2 u - 5 u
= 14.2 u

14.2 u = 312.4

1 u = 312.4 ÷ 14.2 = 22

⁴₄ of her money = 4 x 8 u = 32 u

Amount that Anna had at first
= 32 u
= 32 x 22
= $704

Answer(s): (a) ¹₃₂ ; (b) $704