Helen spent $54 on a jacket. She spent ⁴₁₁ of her remaining money on a blazer and a coat, after which half her money was left.

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

Jacket	Remaining amount
	Blazer	Coat	Left
$54	4		7
1x7			1x7
3 u	4 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 = 711 of remaining amount
714 of total money = 711 of remaining amount

Fraction of her money that she spent on the jacket
= ^Jacket_Total 
= ³₁₄ 

(b)
Cost of the jacket = 3 u

3 u = 54

1 u = 54 ÷ 3 = 18

Cost of the blazer and the coat
= 4 u
= 4 x 18
= $72

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

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

4 p = 72

1 p = 72 ÷ 4 = 18

Amount that the blazer was more than the coat
= 3 p - 1 p
= 2 p
= 2 x 18
= $36

Answer(s): (a) ³₁₄; (b) $36