Helen spent $98 on a sweater. She spent ²₁₁ of her remaining money on a skirt and a vest, after which half her money was left.

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

Sweater	Remaining amount
	Skirt	Vest	Left
$98	2		9
1x9			1x9
7 u	2 u		9 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 9 is 9. 

1x92x9 of total money = 911 of remaining amount
918 of total money = 911 of remaining amount

Fraction of her money that she spent on the sweater
= ^Sweater_Total 
= ⁷₁₈ 

(b)
Cost of the sweater = 7 u

7 u = 98

1 u = 98 ÷ 7 = 14

Cost of the skirt and the vest
= 2 u
= 2 x 14
= $28

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

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

4 p = 28

1 p = 28 ÷ 4 = 7

Amount that the skirt was more than the vest
= 3 p - 1 p
= 2 p
= 2 x 7
= $14

Answer(s): (a) ⁷₁₈; (b) $14