PSLE
Dana spent ¹₈ of her money on a sweater and 2 jumpsuits. The sweater cost 3 times as much as each jumpsuit. Dana spent ⁴₇ of her remaining money on a bracelet. She spent $306 more on the bracelet than on the 2 jumpsuits.
(a) What fraction of Dana's money was spent on each jumpsuit?
(b) How much money did Dana have at first?
(a)
Cost of 1 jumpsuit = 1 u

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

Cost of 1 sweater = 3 u

Cost of 1 sweater and 2 jumpsuits
= 3 u + 2 u
= 5 u

Fraction of Dana's money spent on each jumpsuit
= ¹₅ x ¹₈
= ¹₄₀

(b)
¹₈ of her money = 5 u
⁷₈ of her money = 7 x 5 u = 35 u

Dana's remaining money = 35 u

Cost of the bracelet
= ⁴₇ x 35 u
= 20 u

Amount that Dana spent more on the bracelet than on the 2 jumpsuits
= 20 u - 2 u
= 18 u

18 u = 306

1 u = 306 ÷ 18 = 17

⁸₈ of her money = 8 x 5 u = 40 u

Amount that Dana had at first
= 40 u
= 40 x 17
= $680

Answer(s): (a) ¹₄₀ ; (b) $680