Raeann spent ¹₈ of her money on some staplers. She spent ²₇ of the remaining money on some pencils and ³₅ of what was left on some highlighters.

1. What fraction of her money was spent on highlighters?
2. Given that the staplers cost $18 less than the highlighters, find the sum of money that Raeann spent.

Staplers	Remaining money
1	7
	Pencils	Left
	2	5
		Highlighters	Rest
1 u	2 u	3 u	2 u

(a)
Fraction of money left after spending on the staplers
= 1 - ¹₈
= ⁷₈

Fraction of remaining money after spending on the pencils
= 1 - ²₇
= ⁵₇

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

Fraction of money that was spent on highlighters = ³₈

(b)
Amount that Raeann spent on the staplers = 1 u
Amount that Raeann spent on the highlighters = 3 u

Amount that the staplers cost less than the highlighters
= 3 u - 1 u
= 2 u

2 u = 18

1 u = 18 ÷ 2 = 9

Amount that Raeann sent
= 1 u + 2 u + 3 u
= 6 u
= 6 x 9
= $54

Answer(s): (a) ³₈; (b) $54