PSLE
Tammy spent ¹₇ of her money on a sweater and 2 shirts. The sweater cost 3 times as much as each shirt. Tammy spent ³₄ of her remaining money on a bracelet. She spent $594.5 more on the bracelet than on the 2 shirts.
(a) What fraction of Tammy's money was spent on each shirt?
(b) How much money did Tammy have at first?
(a)
Cost of 1 shirt = 1 u

Cost of 2 shirts
= 2 x 1 u
= 2 u

Cost of 1 sweater = 3 u

Cost of 1 sweater and 2 shirts
= 3 u + 2 u
= 5 u

Fraction of Tammy's money spent on each shirt
= ¹₅ x ¹₇
= ¹₃₅

(b)
¹₇ of her money = 5 u
⁶₇ of her money = 6 x 5 u = 30 u

Tammy's remaining money = 30 u

Cost of the bracelet
= ³₄ x 30 u
= 22.5 u

Amount that Tammy spent more on the bracelet than on the 2 shirts
= 22.5 u - 2 u
= 20.5 u

20.5 u = 594.5

1 u = 594.5 ÷ 20.5 = 29

⁷₇ of her money = 7 x 5 u = 35 u

Amount that Tammy had at first
= 35 u
= 35 x 29
= $1015

Answer(s): (a) ¹₃₅ ; (b) $1015