Helen spent $100 on a blouse. She spent ³₁₁ of her remaining money on a vest and a blazer, after which half her money was left.

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

Blouse	Remaining amount
	Vest	Blazer	Left
$100	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 blouse
= ^Blouse_Total 
= ⁵₁₆ 

(b)
Cost of the blouse = 5 u

5 u = 100

1 u = 100 ÷ 5 = 20

Cost of the vest and the blazer
= 3 u
= 3 x 20
= $60

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

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

6 p = 60

1 p = 60 ÷ 6 = 10

Amount that the vest was more than the blazer
= 5 p - 1 p
= 4 p
= 4 x 10
= $40

Answer(s): (a) ⁵₁₆; (b) $40