Risa spent ¹₇ of her money on some post-it pads. She spent ¹₆ of the remaining money on some punchers and ³₅ of what was left on some highlighters.

1. What fraction of her money was left?
2. Given that the highlighters cost $18 more than the punchers, find the sum of money that Risa had at first.

Post-it Pads	Remaining money
1	6
	Punchers	Left
	1	5
		Highlighters	Rest
1 u	1 u	3 u	2 u

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

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

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

Fraction of money that was left = ²₇

(b)
Amount that Risa spent on the punchers = 1 u
Amount that Risa spent on the highlighters = 3 u

Amount that the highlighters cost more than the punchers
= 3 u - 1 u
= 2 u

2 u = 18

1 u = 18 ÷ 2 = 9

Amount that Risa had at first
= 7 u
= 7 x 9
= $63

Answer(s): (a) ²₇; (b) $63