Usha spent ¹₉ of her money on some markers. She spent ¹₈ of the remaining money on some pencils and ⁴₇ of what was left on some highlighters.

1. What fraction of her money was spent on highlighters?
2. Given that the markers cost $30 less than the highlighters, find the sum of money that Usha spent.

Markers	Remaining money
1	8
	Pencils	Left
	1	7
		Highlighters	Rest
1 u	1 u	4 u	3 u

(a)
Fraction of money left after spending on the markers
= 1 - ¹₉
= ⁸₉

Fraction of remaining money after spending on the pencils
= 1 - ¹₈
= ⁷₈

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

Fraction of money that was spent on highlighters = ⁴₉

(b)
Amount that Usha spent on the markers = 1 u
Amount that Usha spent on the highlighters = 4 u

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

3 u = 30

1 u = 30 ÷ 3 = 10

Amount that Usha sent
= 1 u + 1 u + 4 u
= 6 u
= 6 x 10
= $60

Answer(s): (a) ⁴₉; (b) $60