PSLE
Julie spent ¹₆ of her money on a blouse and 3 coats. The blouse cost 2 times as much as each coat. Julie spent ¹₄ of her remaining money on a bracelet. She spent $81.25 more on the bracelet than on the 3 coats.
(a) What fraction of Julie's money was spent on each coat?
(b) How much money did Julie have at first?
(a)
Cost of 1 coat = 1 u

Cost of 3 coats
= 3 x 1 u
= 3 u

Cost of 1 blouse = 2 u

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

Fraction of Julie's money spent on each coat
= ¹₅ x ¹₆
= ¹₃₀

(b)
¹₆ of her money = 5 u
⁵₆ of her money = 5 x 5 u = 25 u

Julie's remaining money = 25 u

Cost of the bracelet
= ¹₄ x 25 u
= 6.25 u

Amount that Julie spent more on the bracelet than on the 3 coats
= 6.25 u - 3 u
= 3.25 u

3.25 u = 81.25

1 u = 81.25 ÷ 3.25 = 25

⁶₆ of her money = 6 x 5 u = 30 u

Amount that Julie had at first
= 30 u
= 30 x 25
= $750

Answer(s): (a) ¹₃₀ ; (b) $750