PSLE
Winnie spent ¹₁₀ of her money on a coat and 2 jumpsuits. The coat cost 2 times as much as each jumpsuit. Winnie spent ³₄ of her remaining money on a necklace. She spent $475 more on the necklace than on the 2 jumpsuits.
(a) What fraction of Winnie's money was spent on each jumpsuit?
(b) How much money did Winnie have at first?
(a)
Cost of 1 jumpsuit = 1 u

Cost of 2 jumpsuits
= 2 x 1 u
= 2 u

Cost of 1 coat = 2 u

Cost of 1 coat and 2 jumpsuits
= 2 u + 2 u
= 4 u

Fraction of Winnie's money spent on each jumpsuit
= ¹₄ x ¹₁₀
= ¹₄₀

(b)
¹₁₀ of her money = 4 u
⁹₁₀ of her money = 9 x 4 u = 36 u

Winnie's remaining money = 36 u

Cost of the necklace
= ³₄ x 36 u
= 27 u

Amount that Winnie spent more on the necklace than on the 2 jumpsuits
= 27 u - 2 u
= 25 u

25 u = 475

1 u = 475 ÷ 25 = 19

¹⁰₁₀ of her money = 10 x 4 u = 40 u

Amount that Winnie had at first
= 40 u
= 40 x 19
= $760

Answer(s): (a) ¹₄₀ ; (b) $760