Helen spent $60 on a blazer. She spent ²₇ of her remaining money on a shirt and a skirt, after which half her money was left.

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

Blazer	Remaining amount
	Shirt	Skirt	Left
$60	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 blazer
= ^Blazer_Total 
= ³₁₀ 

(b)
Cost of the blazer = 3 u

3 u = 60

1 u = 60 ÷ 3 = 20

Cost of the shirt and the skirt
= 2 u
= 2 x 20
= $40

Cost of the skirt = 1 p
Cost of the shirt = 3 p

Total cost of the skirt and the shirt 
= 1 p + 3 p
= 4 p

4 p = 40

1 p = 40 ÷ 4 = 10

Amount that the shirt was more than the skirt
= 3 p - 1 p
= 2 p
= 2 x 10
= $20

Answer(s): (a) ³₁₀; (b) $20