Helen spent $140 on a skirt. She spent ²₁₁ of her remaining money on a sweater and a windbreaker, after which half her money was left.

1. What fraction of her money did she spend on the skirt?
2. The cost of the windbreaker is ¹₃ the cost of the sweater. How much more does the sweater cost than the windbreaker?

Skirt	Remaining amount
	Sweater	Windbreaker	Left
$140	2		9
1x9			1x9
7 u	2 u		9 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 9 is 9. 

1x92x9 of total money = 911 of remaining amount
918 of total money = 911 of remaining amount

Fraction of her money that she spent on the skirt
= ^Skirt_Total 
= ⁷₁₈ 

(b)
Cost of the skirt = 7 u

7 u = 140

1 u = 140 ÷ 7 = 20

Cost of the sweater and the windbreaker
= 2 u
= 2 x 20
= $40

Cost of the windbreaker = 1 p
Cost of the sweater = 3 p

Total cost of the windbreaker and the sweater 
= 1 p + 3 p
= 4 p

4 p = 40

1 p = 40 ÷ 4 = 10

Amount that the sweater was more than the windbreaker
= 3 p - 1 p
= 2 p
= 2 x 10
= $20

Answer(s): (a) ⁷₁₈; (b) $20