Hilda spent ³₁₀ of her money on some staplers. She spent ²₇ of the remaining money on some correction tapes and ⁴₅ of what was left on some notebooks.

1. What fraction of her money was left?
2. Given that the notebooks cost $12 more than the correction tapes, find the sum of money that Hilda had at first.

Staplers	Remaining money
3	7
	Correction Tapes	Left
	2	5
		Notebooks	Rest
3 u	2 u	4 u	1 u

(a)
Fraction of money left after spending on the staplers
= 1 - ³₁₀
= ⁷₁₀

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

Fraction of what was left after spending on the notebooks
= 1 - ⁴₅
= ¹₅

Fraction of money that was left = ¹₁₀

(b)
Amount that Hilda spent on the correction tapes = 2 u
Amount that Hilda spent on the notebooks = 4 u

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

2 u = 12

1 u = 12 ÷ 2 = 6

Amount that Hilda had at first
= 10 u
= 10 x 6
= $60

Answer(s): (a) ¹₁₀; (b) $60