Helen spent $100 on a dress. She spent ³₁₁ of her remaining money on a sweater and a shirt, after which half her money was left.

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

Dress	Remaining amount
	Sweater	Shirt	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 dress
= ^Dress_Total 
= ⁵₁₆ 

(b)
Cost of the dress = 5 u

5 u = 100

1 u = 100 ÷ 5 = 20

Cost of the sweater and the shirt
= 3 u
= 3 x 20
= $60

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

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

4 p = 60

1 p = 60 ÷ 4 = 15

Amount that the sweater was more than the shirt
= 3 p - 1 p
= 2 p
= 2 x 15
= $30

Answer(s): (a) ⁵₁₆; (b) $30