PSLE
Fanny spent ¹₉ of her money on a blazer and 4 skirts. The blazer cost 2 times as much as each skirt. Fanny spent ⁵₆ of her remaining money on a bracelet. She spent $648 more on the bracelet than on the 4 skirts.
(a) What fraction of Fanny's money was spent on each skirt?
(b) How much money did Fanny have at first?
(a)
Cost of 1 skirt = 1 u

Cost of 4 skirts
= 4 x 1 u
= 4 u

Cost of 1 blazer = 2 u

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

Fraction of Fanny's money spent on each skirt
= ¹₆ x ¹₉
= ¹₅₄

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

Fanny's remaining money = 48 u

Cost of the bracelet
= ⁵₆ x 48 u
= 40 u

Amount that Fanny spent more on the bracelet than on the 4 skirts
= 40 u - 4 u
= 36 u

36 u = 648

1 u = 648 ÷ 36 = 18

⁹₉ of her money = 9 x 6 u = 54 u

Amount that Fanny had at first
= 54 u
= 54 x 18
= $972

Answer(s): (a) ¹₅₄ ; (b) $972