Helen spent $54 on a windbreaker. She spent ²₇ of her remaining money on a blouse and a blazer, after which half her money was left.

1. What fraction of her money did she spend on the windbreaker?
2. The cost of the blazer is ¹₅ the cost of the blouse. How much more does the blouse cost than the blazer?

Windbreaker	Remaining amount
	Blouse	Blazer	Left
$54	2		5
1x5			1x5
3 u	2 u		5 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 5 is 5. 

1x52x5 of total money = 57 of remaining amount
510 of total money = 57 of remaining amount

Fraction of her money that she spent on the windbreaker
= ^Windbreaker_Total 
= ³₁₀ 

(b)
Cost of the windbreaker = 3 u

3 u = 54

1 u = 54 ÷ 3 = 18

Cost of the blouse and the blazer
= 2 u
= 2 x 18
= $36

Cost of the blazer = 1 p
Cost of the blouse = 5 p

Total cost of the blazer and the blouse 
= 1 p + 5 p
= 6 p

6 p = 36

1 p = 36 ÷ 6 = 6

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

Answer(s): (a) ³₁₀; (b) $24