Helen spent $12 on a dress. She spent ²₇ of her remaining money on a coat and a jumpsuit, after which half her money was left.

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

Dress	Remaining amount
	Coat	Jumpsuit	Left
$12	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 = 12

1 u = 12 ÷ 3 = 4

Cost of the coat and the jumpsuit
= 2 u
= 2 x 4
= $8

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

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

4 p = 8

1 p = 8 ÷ 4 = 2

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

Answer(s): (a) ³₁₀; (b) $4