Helen spent $60 on a vest. She spent ³₁₁ of her remaining money on a windbreaker and a sweater, after which half her money was left.

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

Vest	Remaining amount
	Windbreaker	Sweater	Left
$60	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 vest
= ^Vest_Total 
= ⁵₁₆ 

(b)
Cost of the vest = 5 u

5 u = 60

1 u = 60 ÷ 5 = 12

Cost of the windbreaker and the sweater
= 3 u
= 3 x 12
= $36

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

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

6 p = 36

1 p = 36 ÷ 6 = 6

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

Answer(s): (a) ⁵₁₆; (b) $24