Raeann spent ¹₁₀ of her money on some highlighters. She spent ⁴₉ of the remaining money on some folders and ³₅ of what was left on some punchers.

1. What fraction of her money was spent on punchers?
2. Given that the highlighters cost $4 less than the punchers, find the sum of money that Raeann spent.

Highlighters	Remaining money
1	9
	Folders	Left
	4	5
		Punchers	Rest
1 u	4 u	3 u	2 u

(a)
Fraction of money left after spending on the highlighters
= 1 - ¹₁₀
= ⁹₁₀

Fraction of remaining money after spending on the folders
= 1 - ⁴₉
= ⁵₉

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

Fraction of money that was spent on punchers = ³₁₀

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

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

2 u = 4

1 u = 4 ÷ 2 = 2

Amount that Raeann sent
= 1 u + 4 u + 3 u
= 8 u
= 8 x 2
= $16

Answer(s): (a) ³₁₀; (b) $16