PSLE
Kimberly spent ¹₉ of her money on a vest and 4 blazers. The vest cost 3 times as much as each blazer. Kimberly spent ²₅ of her remaining money on a bracelet. She spent $533.6 more on the bracelet than on the 4 blazers.
(a) What fraction of Kimberly's money was spent on each blazer?
(b) How much money did Kimberly have at first?
(a)
Cost of 1 blazer = 1 u

Cost of 4 blazers
= 4 x 1 u
= 4 u

Cost of 1 vest = 3 u

Cost of 1 vest and 4 blazers
= 3 u + 4 u
= 7 u

Fraction of Kimberly's money spent on each blazer
= ¹₇ x ¹₉
= ¹₆₃

(b)
¹₉ of her money = 7 u
⁸₉ of her money = 8 x 7 u = 56 u

Kimberly's remaining money = 56 u

Cost of the bracelet
= ²₅ x 56 u
= 22.4 u

Amount that Kimberly spent more on the bracelet than on the 4 blazers
= 22.4 u - 4 u
= 18.4 u

18.4 u = 533.6

1 u = 533.6 ÷ 18.4 = 29

⁹₉ of her money = 9 x 7 u = 63 u

Amount that Kimberly had at first
= 63 u
= 63 x 29
= $1827

Answer(s): (a) ¹₆₃ ; (b) $1827