Olivia spent ¹₁₁ of her money on some rulers. She spent ³₁₀ of the remaining money on some files and ³₇ of what was left on some correction tapes.

1. What fraction of her money was spent on correction tapes?
2. Given that the rulers cost $16 less than the correction tapes, find the sum of money that Olivia spent.

Rulers	Remaining money
1	10
	Files	Left
	3	7
		Correction Tapes	Rest
1 u	3 u	3 u	4 u

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

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

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

Fraction of money that was spent on correction tapes = ³₁₁

(b)
Amount that Olivia spent on the rulers = 1 u
Amount that Olivia spent on the correction tapes = 3 u

Amount that the rulers cost less than the correction tapes
= 3 u - 1 u
= 2 u

2 u = 16

1 u = 16 ÷ 2 = 8

Amount that Olivia sent
= 1 u + 3 u + 3 u
= 7 u
= 7 x 8
= $56

Answer(s): (a) ³₁₁; (b) $56