PSLE
Gabby spent ¹₅ of her money on a shirt and 2 skirts. The shirt cost 3 times as much as each skirt. Gabby spent ³₅ of her remaining money on a necklace. She spent $220 more on the necklace than on the 2 skirts.
(a) What fraction of Gabby's money was spent on each skirt?
(b) How much money did Gabby have at first?
(a)
Cost of 1 skirt = 1 u

Cost of 2 skirts
= 2 x 1 u
= 2 u

Cost of 1 shirt = 3 u

Cost of 1 shirt and 2 skirts
= 3 u + 2 u
= 5 u

Fraction of Gabby's money spent on each skirt
= ¹₅ x ¹₅
= ¹₂₅

(b)
¹₅ of her money = 5 u
⁴₅ of her money = 4 x 5 u = 20 u

Gabby's remaining money = 20 u

Cost of the necklace
= ³₅ x 20 u
= 12 u

Amount that Gabby spent more on the necklace than on the 2 skirts
= 12 u - 2 u
= 10 u

10 u = 220

1 u = 220 ÷ 10 = 22

⁵₅ of her money = 5 x 5 u = 25 u

Amount that Gabby had at first
= 25 u
= 25 x 22
= $550

Answer(s): (a) ¹₂₅ ; (b) $550