PSLE
Kylie spent ¹₉ of her money on a skirt and 4 sweaters. The skirt cost 2 times as much as each sweater. Kylie spent ²₅ of her remaining money on a bracelet. She spent $197.6 more on the bracelet than on the 4 sweaters.
(a) What fraction of Kylie's money was spent on each sweater?
(b) How much money did Kylie have at first?
(a)
Cost of 1 sweater = 1 u

Cost of 4 sweaters
= 4 x 1 u
= 4 u

Cost of 1 skirt = 2 u

Cost of 1 skirt and 4 sweaters
= 2 u + 4 u
= 6 u

Fraction of Kylie's money spent on each sweater
= ¹₆ x ¹₉
= ¹₅₄

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

Kylie's remaining money = 48 u

Cost of the bracelet
= ²₅ x 48 u
= 19.2 u

Amount that Kylie spent more on the bracelet than on the 4 sweaters
= 19.2 u - 4 u
= 15.2 u

15.2 u = 197.6

1 u = 197.6 ÷ 15.2 = 13

⁹₉ of her money = 9 x 6 u = 54 u

Amount that Kylie had at first
= 54 u
= 54 x 13
= $702

Answer(s): (a) ¹₅₄ ; (b) $702