Emma spent ¹₇ of her money on some correction tapes. She spent ¹₆ of the remaining money on some pencils and ⁴₅ of what was left on some markers.

1. What fraction of her money was spent on markers?
2. Given that the correction tapes cost $9 less than the markers, find the sum of money that Emma spent.

Correction Tapes	Remaining money
1	6
	Pencils	Left
	1	5
		Markers	Rest
1 u	1 u	4 u	1 u

(a)
Fraction of money left after spending on the correction tapes
= 1 - ¹₇
= ⁶₇

Fraction of remaining money after spending on the pencils
= 1 - ¹₆
= ⁵₆

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

Fraction of money that was spent on markers = ⁴₇

(b)
Amount that Emma spent on the correction tapes = 1 u
Amount that Emma spent on the markers = 4 u

Amount that the correction tapes cost less than the markers
= 4 u - 1 u
= 3 u

3 u = 9

1 u = 9 ÷ 3 = 3

Amount that Emma sent
= 1 u + 1 u + 4 u
= 6 u
= 6 x 3
= $18

Answer(s): (a) ⁴₇; (b) $18