Xylia spent ¹₇ of her money on some post-it pads. She spent ¹₆ of the remaining money on some notebooks and ⁴₅ of what was left on some correction tapes.

1. What fraction of her money was left?
2. Given that the correction tapes cost $6 more than the notebooks, find the sum of money that Xylia had at first.

Post-it Pads	Remaining money
1	6
	Notebooks	Left
	1	5
		Correction Tapes	Rest
1 u	1 u	4 u	1 u

(a)
Fraction of money left after spending on the post-it pads
= 1 - ¹₇
= ⁶₇

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

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

Fraction of money that was left = ¹₇

(b)
Amount that Xylia spent on the notebooks = 1 u
Amount that Xylia spent on the correction tapes = 4 u

Amount that the correction tapes cost more than the notebooks
= 4 u - 1 u
= 3 u

3 u = 6

1 u = 6 ÷ 3 = 2

Amount that Xylia had at first
= 7 u
= 7 x 2
= $14

Answer(s): (a) ¹₇; (b) $14