Gabby spent ¹₁₀ of her money on some rulers. She spent ²₉ of the remaining money on some correction tapes and ⁴₇ of what was left on some glues.

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

Rulers	Remaining money
1	9
	Correction Tapes	Left
	2	7
		Glues	Rest
1 u	2 u	4 u	3 u

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

Fraction of remaining money after spending on the correction tapes
= 1 - ²₉
= ⁷₉

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

Fraction of money that was left = ³₁₀

(b)
Amount that Gabby spent on the correction tapes = 2 u
Amount that Gabby spent on the glues = 4 u

Amount that the glues cost more than the correction tapes
= 4 u - 2 u
= 2 u

2 u = 20

1 u = 20 ÷ 2 = 10

Amount that Gabby had at first
= 10 u
= 10 x 10
= $100

Answer(s): (a) ³₁₀; (b) $100