Victoria spent ²₁₃ of her money on some pens. She spent ⁴₁₁ of the remaining money on some glues and ⁴₇ of what was left on some post-it pads.

1. What fraction of her money was spent on post-it pads?
2. Given that the pens cost $20 less than the post-it pads, find the sum of money that Victoria spent.

Pens	Remaining money
2	11
	Glues	Left
	4	7
		Post-it Pads	Rest
2 u	4 u	4 u	3 u

(a)
Fraction of money left after spending on the pens
= 1 - ²₁₃
= ¹¹₁₃

Fraction of remaining money after spending on the glues
= 1 - ⁴₁₁
= ⁷₁₁

Fraction of what was left after spending on the post-it pads
= 1 - ⁴₇
= ³₇

Fraction of money that was spent on post-it pads = ⁴₁₃

(b)
Amount that Victoria spent on the pens = 2 u
Amount that Victoria spent on the post-it pads = 4 u

Amount that the pens cost less than the post-it pads
= 4 u - 2 u
= 2 u

2 u = 20

1 u = 20 ÷ 2 = 10

Amount that Victoria sent
= 2 u + 4 u + 4 u
= 10 u
= 10 x 10
= $100

Answer(s): (a) ⁴₁₃; (b) $100