Helen spent $18 on a jacket. She spent ²₇ of her remaining money on a sweater and a dress, after which half her money was left.

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

Jacket	Remaining amount
	Sweater	Dress	Left
$18	2		5
1x5			1x5
3 u	2 u		5 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 5 is 5. 

1x52x5 of total money = 57 of remaining amount
510 of total money = 57 of remaining amount

Fraction of her money that she spent on the jacket
= ^Jacket_Total 
= ³₁₀ 

(b)
Cost of the jacket = 3 u

3 u = 18

1 u = 18 ÷ 3 = 6

Cost of the sweater and the dress
= 2 u
= 2 x 6
= $12

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

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

4 p = 12

1 p = 12 ÷ 4 = 3

Amount that the sweater was more than the dress
= 3 p - 1 p
= 2 p
= 2 x 3
= $6

Answer(s): (a) ³₁₀; (b) $6