Helen spent $80 on a shirt. She spent ²₉ of her remaining money on a windbreaker and a blouse, after which half her money was left.

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

Shirt	Remaining amount
	Windbreaker	Blouse	Left
$80	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 shirt
= ^Shirt_Total 
= ⁵₁₄ 

(b)
Cost of the shirt = 5 u

5 u = 80

1 u = 80 ÷ 5 = 16

Cost of the windbreaker and the blouse
= 2 u
= 2 x 16
= $32

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

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

4 p = 32

1 p = 32 ÷ 4 = 8

Amount that the windbreaker was more than the blouse
= 3 p - 1 p
= 2 p
= 2 x 8
= $16

Answer(s): (a) ⁵₁₄; (b) $16