Tammy spent ¹₁₁ of her money on some rulers. She spent ³₁₀ of the remaining money on some glues and ⁴₇ of what was left on some highlighters.

1. What fraction of her money was spent on highlighters?
2. Given that the rulers cost $9 less than the highlighters, find the sum of money that Tammy spent.

Rulers	Remaining money
1	10
	Glues	Left
	3	7
		Highlighters	Rest
1 u	3 u	4 u	3 u

(a)
Fraction of money left after spending on the rulers
= 1 - ¹₁₁
= ¹⁰₁₁

Fraction of remaining money after spending on the glues
= 1 - ³₁₀
= ⁷₁₀

Fraction of what was left after spending on the highlighters
= 1 - ⁴₇
= ³₇

Fraction of money that was spent on highlighters = ⁴₁₁

(b)
Amount that Tammy spent on the rulers = 1 u
Amount that Tammy spent on the highlighters = 4 u

Amount that the rulers cost less than the highlighters
= 4 u - 1 u
= 3 u

3 u = 9

1 u = 9 ÷ 3 = 3

Amount that Tammy sent
= 1 u + 3 u + 4 u
= 8 u
= 8 x 3
= $24

Answer(s): (a) ⁴₁₁; (b) $24