PSLE
Eva spent ¹₃ of her money on a jumpsuit and 2 blazers. The jumpsuit cost 2 times as much as each blazer. Eva spent ⁵₈ of her remaining money on a bracelet. She spent $42 more on the bracelet than on the 2 blazers.
(a) What fraction of Eva's money was spent on each blazer?
(b) How much money did Eva have at first?
(a)
Cost of 1 blazer = 1 u

Cost of 2 blazers
= 2 x 1 u
= 2 u

Cost of 1 jumpsuit = 2 u

Cost of 1 jumpsuit and 2 blazers
= 2 u + 2 u
= 4 u

Fraction of Eva's money spent on each blazer
= ¹₄ x ¹₃
= ¹₁₂

(b)
¹₃ of her money = 4 u
²₃ of her money = 2 x 4 u = 8 u

Eva's remaining money = 8 u

Cost of the bracelet
= ⁵₈ x 8 u
= 5 u

Amount that Eva spent more on the bracelet than on the 2 blazers
= 5 u - 2 u
= 3 u

3 u = 42

1 u = 42 ÷ 3 = 14

³₃ of her money = 3 x 4 u = 12 u

Amount that Eva had at first
= 12 u
= 12 x 14
= $168

Answer(s): (a) ¹₁₂ ; (b) $168