Helen spent $48 on a blouse. She spent ²₇ of her remaining money on a dress and a jumpsuit, after which half her money was left.

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

Blouse	Remaining amount
	Dress	Jumpsuit	Left
$48	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 blouse
= ^Blouse_Total 
= ³₁₀ 

(b)
Cost of the blouse = 3 u

3 u = 48

1 u = 48 ÷ 3 = 16

Cost of the dress and the jumpsuit
= 2 u
= 2 x 16
= $32

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

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

4 p = 32

1 p = 32 ÷ 4 = 8

Amount that the dress was more than the jumpsuit
= 3 p - 1 p
= 2 p
= 2 x 8
= $16

Answer(s): (a) ³₁₀; (b) $16