Helen spent $100 on a blouse. She spent ²₉ of her remaining money on a dress and a windbreaker, after which half her money was left.

1. What fraction of her money did she spend on the blouse?
2. The cost of the windbreaker is ¹₄ the cost of the dress. How much more does the dress cost than the windbreaker?

Blouse	Remaining amount
	Dress	Windbreaker	Left
$100	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 blouse
= ^Blouse_Total 
= ⁵₁₄ 

(b)
Cost of the blouse = 5 u

5 u = 100

1 u = 100 ÷ 5 = 20

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

Cost of the windbreaker = 1 p
Cost of the dress = 4 p

Total cost of the windbreaker and the dress 
= 1 p + 4 p
= 5 p

5 p = 40

1 p = 40 ÷ 5 = 8

Amount that the dress was more than the windbreaker
= 4 p - 1 p
= 3 p
= 3 x 8
= $24

Answer(s): (a) ⁵₁₄; (b) $24