Helen spent $50 on a vest. She spent ²₉ of her remaining money on a jumpsuit and a blazer, after which half her money was left.

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

Vest	Remaining amount
	Jumpsuit	Blazer	Left
$50	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 vest
= ^Vest_Total 
= ⁵₁₄ 

(b)
Cost of the vest = 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Cost of the jumpsuit and the blazer
= 2 u
= 2 x 10
= $20

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

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

4 p = 20

1 p = 20 ÷ 4 = 5

Amount that the jumpsuit was more than the blazer
= 3 p - 1 p
= 2 p
= 2 x 5
= $10

Answer(s): (a) ⁵₁₄; (b) $10