Helen spent $42 on a dress. She spent ²₇ of her remaining money on a jacket and a skirt, after which half her money was left.

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

Dress	Remaining amount
	Jacket	Skirt	Left
$42	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 dress
= ^Dress_Total 
= ³₁₀ 

(b)
Cost of the dress = 3 u

3 u = 42

1 u = 42 ÷ 3 = 14

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

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

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

4 p = 28

1 p = 28 ÷ 4 = 7

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

Answer(s): (a) ³₁₀; (b) $14