Vanessa spent ¹₈ of her money on some pencils. She spent ²₇ of the remaining money on some foolscaps and ³₅ of what was left on some correction tapes.

1. What fraction of her money was spent on correction tapes?
2. Given that the pencils cost $14 less than the correction tapes, find the sum of money that Vanessa spent.

Pencils	Remaining money
1	7
	Foolscaps	Left
	2	5
		Correction Tapes	Rest
1 u	2 u	3 u	2 u

(a)
Fraction of money left after spending on the pencils
= 1 - ¹₈
= ⁷₈

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

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

Fraction of money that was spent on correction tapes = ³₈

(b)
Amount that Vanessa spent on the pencils = 1 u
Amount that Vanessa spent on the correction tapes = 3 u

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

2 u = 14

1 u = 14 ÷ 2 = 7

Amount that Vanessa sent
= 1 u + 2 u + 3 u
= 6 u
= 6 x 7
= $42

Answer(s): (a) ³₈; (b) $42