Helen spent $24 on a coat. She spent ²₇ of her remaining money on a blouse and a jacket, after which half her money was left.

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

Coat	Remaining amount
	Blouse	Jacket	Left
$24	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 coat
= ^Coat_Total 
= ³₁₀ 

(b)
Cost of the coat = 3 u

3 u = 24

1 u = 24 ÷ 3 = 8

Cost of the blouse and the jacket
= 2 u
= 2 x 8
= $16

Cost of the jacket = 1 p
Cost of the blouse = 3 p

Total cost of the jacket and the blouse 
= 1 p + 3 p
= 4 p

4 p = 16

1 p = 16 ÷ 4 = 4

Amount that the blouse was more than the jacket
= 3 p - 1 p
= 2 p
= 2 x 4
= $8

Answer(s): (a) ³₁₀; (b) $8