PSLE
Emily spent ¹₉ of her money on a blazer and 4 blouses. The blazer cost 2 times as much as each blouse. Emily spent ¹₂ of her remaining money on a bracelet. She spent $580 more on the bracelet than on the 4 blouses.
(a) What fraction of Emily's money was spent on each blouse?
(b) How much money did Emily have at first?
(a)
Cost of 1 blouse = 1 u

Cost of 4 blouses
= 4 x 1 u
= 4 u

Cost of 1 blazer = 2 u

Cost of 1 blazer and 4 blouses
= 2 u + 4 u
= 6 u

Fraction of Emily's money spent on each blouse
= ¹₆ x ¹₉
= ¹₅₄

(b)
¹₉ of her money = 6 u
⁸₉ of her money = 8 x 6 u = 48 u

Emily's remaining money = 48 u

Cost of the bracelet
= ¹₂ x 48 u
= 24 u

Amount that Emily spent more on the bracelet than on the 4 blouses
= 24 u - 4 u
= 20 u

20 u = 580

1 u = 580 ÷ 20 = 29

⁹₉ of her money = 9 x 6 u = 54 u

Amount that Emily had at first
= 54 u
= 54 x 29
= $1566

Answer(s): (a) ¹₅₄ ; (b) $1566