PSLE
Zoe spent ¹₉ of her money on a skirt and 4 jumpsuits. The skirt cost 2 times as much as each jumpsuit. Zoe spent ²₃ of her remaining money on a ring. She spent $448 more on the ring than on the 4 jumpsuits.
(a) What fraction of Zoe's money was spent on each jumpsuit?
(b) How much money did Zoe have at first?
(a)
Cost of 1 jumpsuit = 1 u

Cost of 4 jumpsuits
= 4 x 1 u
= 4 u

Cost of 1 skirt = 2 u

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

Fraction of Zoe's money spent on each jumpsuit
= ¹₆ x ¹₉
= ¹₅₄

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

Zoe's remaining money = 48 u

Cost of the ring
= ²₃ x 48 u
= 32 u

Amount that Zoe spent more on the ring than on the 4 jumpsuits
= 32 u - 4 u
= 28 u

28 u = 448

1 u = 448 ÷ 28 = 16

⁹₉ of her money = 9 x 6 u = 54 u

Amount that Zoe had at first
= 54 u
= 54 x 16
= $864

Answer(s): (a) ¹₅₄ ; (b) $864