Helen spent $50 on a windbreaker. She spent ³₁₁ of her remaining money on a shirt 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 ¹₅ the cost of the shirt. How much more does the shirt cost than the dress?

Windbreaker	Remaining amount
	Shirt	Dress	Left
$50	3		8
1x8			1x8
5 u	3 u		8 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 8 is 8. 

1x82x8 of total money = 811 of remaining amount
816 of total money = 811 of remaining amount

Fraction of her money that she spent on the windbreaker
= ^Windbreaker_Total 
= ⁵₁₆ 

(b)
Cost of the windbreaker = 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Cost of the shirt and the dress
= 3 u
= 3 x 10
= $30

Cost of the dress = 1 p
Cost of the shirt = 5 p

Total cost of the dress and the shirt 
= 1 p + 5 p
= 6 p

6 p = 30

1 p = 30 ÷ 6 = 5

Amount that the shirt was more than the dress
= 5 p - 1 p
= 4 p
= 4 x 5
= $20

Answer(s): (a) ⁵₁₆; (b) $20