Helen spent $30 on a dress. She spent ²₇ of her remaining money on a jumpsuit and a coat, after which half her money was left.

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

Dress	Remaining amount
	Jumpsuit	Coat	Left
$30	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 = 30

1 u = 30 ÷ 3 = 10

Cost of the jumpsuit and the coat
= 2 u
= 2 x 10
= $20

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

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

4 p = 20

1 p = 20 ÷ 4 = 5

Amount that the jumpsuit was more than the coat
= 3 p - 1 p
= 2 p
= 2 x 5
= $10

Answer(s): (a) ³₁₀; (b) $10