Helen spent $90 on a blazer. 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 blazer?
2. The cost of the windbreaker is ¹₅ the cost of the dress. How much more does the dress cost than the windbreaker?

Blazer	Remaining amount
	Dress	Windbreaker	Left
$90	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 blazer
= ^Blazer_Total 
= ⁵₁₄ 

(b)
Cost of the blazer = 5 u

5 u = 90

1 u = 90 ÷ 5 = 18

Cost of the dress and the windbreaker
= 2 u
= 2 x 18
= $36

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

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

6 p = 36

1 p = 36 ÷ 6 = 6

Amount that the dress was more than the windbreaker
= 5 p - 1 p
= 4 p
= 4 x 6
= $24

Answer(s): (a) ⁵₁₄; (b) $24