Helen spent $30 on a coat. She spent ²₉ of her remaining money on a blazer and a dress, after which half her money was left.

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

Coat	Remaining amount
	Blazer	Dress	Left
$30	2		7
1x7			1x7
5 u	2 u		7 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 7 is 7. 

1x72x7 of total money = 79 of remaining amount
714 of total money = 79 of remaining amount

Fraction of her money that she spent on the coat
= ^Coat_Total 
= ⁵₁₄ 

(b)
Cost of the coat = 5 u

5 u = 30

1 u = 30 ÷ 5 = 6

Cost of the blazer and the dress
= 2 u
= 2 x 6
= $12

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

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

4 p = 12

1 p = 12 ÷ 4 = 3

Amount that the blazer was more than the dress
= 3 p - 1 p
= 2 p
= 2 x 3
= $6

Answer(s): (a) ⁵₁₄; (b) $6