Helen spent $80 on a blazer. She spent ³₁₁ of her remaining money on a vest and a sweater, after which half her money was left.

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

Blazer	Remaining amount
	Vest	Sweater	Left
$80	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 blazer
= ^Blazer_Total 
= ⁵₁₆ 

(b)
Cost of the blazer = 5 u

5 u = 80

1 u = 80 ÷ 5 = 16

Cost of the vest and the sweater
= 3 u
= 3 x 16
= $48

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

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

6 p = 48

1 p = 48 ÷ 6 = 8

Amount that the vest was more than the sweater
= 5 p - 1 p
= 4 p
= 4 x 8
= $32

Answer(s): (a) ⁵₁₆; (b) $32