Helen spent $15 on a skirt. She spent ²₇ of her remaining money on a jumpsuit and a sweater, after which half her money was left.

1. What fraction of her money did she spend on the skirt?
2. The cost of the sweater is ¹₄ the cost of the jumpsuit. How much more does the jumpsuit cost than the sweater?

Skirt	Remaining amount
	Jumpsuit	Sweater	Left
$15	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 skirt
= ^Skirt_Total 
= ³₁₀ 

(b)
Cost of the skirt = 3 u

3 u = 15

1 u = 15 ÷ 3 = 5

Cost of the jumpsuit and the sweater
= 2 u
= 2 x 5
= $10

Cost of the sweater = 1 p
Cost of the jumpsuit = 4 p

Total cost of the sweater and the jumpsuit 
= 1 p + 4 p
= 5 p

5 p = 10

1 p = 10 ÷ 5 = 2

Amount that the jumpsuit was more than the sweater
= 4 p - 1 p
= 3 p
= 3 x 2
= $6

Answer(s): (a) ³₁₀; (b) $6