Penelope spent ⁴₁₃ of her money on some correction tapes. She spent ²₉ of the remaining money on some punchers and ⁴₇ of what was left on some rulers.

1. What fraction of her money was left?
2. Given that the rulers cost $4 more than the punchers, find the sum of money that Penelope had at first.

Correction Tapes	Remaining money
4	9
	Punchers	Left
	2	7
		Rulers	Rest
4 u	2 u	4 u	3 u

(a)
Fraction of money left after spending on the correction tapes
= 1 - ⁴₁₃
= ⁹₁₃

Fraction of remaining money after spending on the punchers
= 1 - ²₉
= ⁷₉

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

Fraction of money that was left = ³₁₃

(b)
Amount that Penelope spent on the punchers = 2 u
Amount that Penelope spent on the rulers = 4 u

Amount that the rulers cost more than the punchers
= 4 u - 2 u
= 2 u

2 u = 4

1 u = 4 ÷ 2 = 2

Amount that Penelope had at first
= 13 u
= 13 x 2
= $26

Answer(s): (a) ³₁₃; (b) $26