Lucy spent ¹₇ of her money on some foolscaps. She spent ¹₆ of the remaining money on some staplers and ³₅ of what was left on some correction tapes.

1. What fraction of her money was left?
2. Given that the correction tapes cost $20 more than the staplers, find the sum of money that Lucy had at first.

Foolscaps	Remaining money
1	6
	Staplers	Left
	1	5
		Correction Tapes	Rest
1 u	1 u	3 u	2 u

(a)
Fraction of money left after spending on the foolscaps
= 1 - ¹₇
= ⁶₇

Fraction of remaining money after spending on the staplers
= 1 - ¹₆
= ⁵₆

Fraction of what was left after spending on the correction tapes
= 1 - ³₅
= ²₅

Fraction of money that was left = ²₇

(b)
Amount that Lucy spent on the staplers = 1 u
Amount that Lucy spent on the correction tapes = 3 u

Amount that the correction tapes cost more than the staplers
= 3 u - 1 u
= 2 u

2 u = 20

1 u = 20 ÷ 2 = 10

Amount that Lucy had at first
= 7 u
= 7 x 10
= $70

Answer(s): (a) ²₇; (b) $70