Helen spent $45 on a jumpsuit. She spent ²₇ of her remaining money on a sweater and a windbreaker, after which half her money was left.

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

Jumpsuit	Remaining amount
	Sweater	Windbreaker	Left
$45	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 jumpsuit
= ^Jumpsuit_Total 
= ³₁₀ 

(b)
Cost of the jumpsuit = 3 u

3 u = 45

1 u = 45 ÷ 3 = 15

Cost of the sweater and the windbreaker
= 2 u
= 2 x 15
= $30

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

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

5 p = 30

1 p = 30 ÷ 5 = 6

Amount that the sweater was more than the windbreaker
= 4 p - 1 p
= 3 p
= 3 x 6
= $18

Answer(s): (a) ³₁₀; (b) $18