Helen spent $140 on a blazer. She spent ²₁₁ of her remaining money on a vest and a jacket, after which half her money was left.

1. What fraction of her money did she spend on the blazer?
2. The cost of the jacket is ¹₄ the cost of the vest. How much more does the vest cost than the jacket?

Blazer	Remaining amount
	Vest	Jacket	Left
$140	2		9
1x9			1x9
7 u	2 u		9 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 9 is 9. 

1x92x9 of total money = 911 of remaining amount
918 of total money = 911 of remaining amount

Fraction of her money that she spent on the blazer
= ^Blazer_Total 
= ⁷₁₈ 

(b)
Cost of the blazer = 7 u

7 u = 140

1 u = 140 ÷ 7 = 20

Cost of the vest and the jacket
= 2 u
= 2 x 20
= $40

Cost of the jacket = 1 p
Cost of the vest = 4 p

Total cost of the jacket and the vest 
= 1 p + 4 p
= 5 p

5 p = 40

1 p = 40 ÷ 5 = 8

Amount that the vest was more than the jacket
= 4 p - 1 p
= 3 p
= 3 x 8
= $24

Answer(s): (a) ⁷₁₈; (b) $24