PSLE
Shiyun spent ¹₇ of her money on a jumpsuit and 2 coats. The jumpsuit cost 3 times as much as each coat. Shiyun spent ¹₃ of her remaining money on a bracelet. She spent $112 more on the bracelet than on the 2 coats.
(a) What fraction of Shiyun's money was spent on each coat?
(b) How much money did Shiyun have at first?
(a)
Cost of 1 coat = 1 u

Cost of 2 coats
= 2 x 1 u
= 2 u

Cost of 1 jumpsuit = 3 u

Cost of 1 jumpsuit and 2 coats
= 3 u + 2 u
= 5 u

Fraction of Shiyun's money spent on each coat
= ¹₅ x ¹₇
= ¹₃₅

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

Shiyun's remaining money = 30 u

Cost of the bracelet
= ¹₃ x 30 u
= 10 u

Amount that Shiyun spent more on the bracelet than on the 2 coats
= 10 u - 2 u
= 8 u

8 u = 112

1 u = 112 ÷ 8 = 14

⁷₇ of her money = 7 x 5 u = 35 u

Amount that Shiyun had at first
= 35 u
= 35 x 14
= $490

Answer(s): (a) ¹₃₅ ; (b) $490