PSLE
Julie spent ¹₇ of her money on a windbreaker and 5 jumpsuits. The windbreaker cost 2 times as much as each jumpsuit. Julie spent ¹₂ of her remaining money on a ring. She spent $384 more on the ring than on the 5 jumpsuits.
(a) What fraction of Julie's money was spent on each jumpsuit?
(b) How much money did Julie have at first?
(a)
Cost of 1 jumpsuit = 1 u

Cost of 5 jumpsuits
= 5 x 1 u
= 5 u

Cost of 1 windbreaker = 2 u

Cost of 1 windbreaker and 5 jumpsuits
= 2 u + 5 u
= 7 u

Fraction of Julie's money spent on each jumpsuit
= ¹₇ x ¹₇
= ¹₄₉

(b)
¹₇ of her money = 7 u
⁶₇ of her money = 6 x 7 u = 42 u

Julie's remaining money = 42 u

Cost of the ring
= ¹₂ x 42 u
= 21 u

Amount that Julie spent more on the ring than on the 5 jumpsuits
= 21 u - 5 u
= 16 u

16 u = 384

1 u = 384 ÷ 16 = 24

⁷₇ of her money = 7 x 7 u = 49 u

Amount that Julie had at first
= 49 u
= 49 x 24
= $1176

Answer(s): (a) ¹₄₉ ; (b) $1176