Helen spent $48 on a dress. She spent ⁴₁₁ of her remaining money on a skirt 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 skirt. How much more does the skirt cost than the shirt?

Dress	Remaining amount
	Skirt	Shirt	Left
$48	4		7
1x7			1x7
3 u	4 u		7 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 7 is 7. 

1x72x7 of total money = 711 of remaining amount
714 of total money = 711 of remaining amount

Fraction of her money that she spent on the dress
= ^Dress_Total 
= ³₁₄ 

(b)
Cost of the dress = 3 u

3 u = 48

1 u = 48 ÷ 3 = 16

Cost of the skirt and the shirt
= 4 u
= 4 x 16
= $64

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

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

4 p = 64

1 p = 64 ÷ 4 = 16

Amount that the skirt was more than the shirt
= 3 p - 1 p
= 2 p
= 2 x 16
= $32

Answer(s): (a) ³₁₄; (b) $32