Helen spent $33 on a blouse. She spent ⁴₁₁ of her remaining money on a vest and a sweater, after which half her money was left.

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

Blouse	Remaining amount
	Vest	Sweater	Left
$33	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 blouse
= ^Blouse_Total 
= ³₁₄ 

(b)
Cost of the blouse = 3 u

3 u = 33

1 u = 33 ÷ 3 = 11

Cost of the vest and the sweater
= 4 u
= 4 x 11
= $44

Cost of the sweater = 1 p
Cost of the vest = 3 p

Total cost of the sweater and the vest 
= 1 p + 3 p
= 4 p

4 p = 44

1 p = 44 ÷ 4 = 11

Amount that the vest was more than the sweater
= 3 p - 1 p
= 2 p
= 2 x 11
= $22

Answer(s): (a) ³₁₄; (b) $22