Helen spent $50 on a jacket. She spent ²₉ of her remaining money on a skirt and a windbreaker, after which half her money was left.

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

Jacket	Remaining amount
	Skirt	Windbreaker	Left
$50	2		7
1x7			1x7
5 u	2 u		7 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 7 is 7. 

1x72x7 of total money = 79 of remaining amount
714 of total money = 79 of remaining amount

Fraction of her money that she spent on the jacket
= ^Jacket_Total 
= ⁵₁₄ 

(b)
Cost of the jacket = 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Cost of the skirt and the windbreaker
= 2 u
= 2 x 10
= $20

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

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

4 p = 20

1 p = 20 ÷ 4 = 5

Amount that the skirt was more than the windbreaker
= 3 p - 1 p
= 2 p
= 2 x 5
= $10

Answer(s): (a) ⁵₁₄; (b) $10