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

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

Windbreaker	Remaining amount
	Coat	Dress	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 windbreaker
= ^Windbreaker_Total 
= ⁵₁₄ 

(b)
Cost of the windbreaker = 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Cost of the coat and the dress
= 2 u
= 2 x 10
= $20

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

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

5 p = 20

1 p = 20 ÷ 5 = 4

Amount that the coat was more than the dress
= 4 p - 1 p
= 3 p
= 3 x 4
= $12

Answer(s): (a) ⁵₁₄; (b) $12