Helen spent $70 on a jacket. She spent ³₁₁ of her remaining money on a shirt and a windbreaker, after which half her money was left.

1. What fraction of her money did she spend on the jacket?
2. The cost of the windbreaker is ¹₆ the cost of the shirt. How much more does the shirt cost than the windbreaker?

Jacket	Remaining amount
	Shirt	Windbreaker	Left
$70	3		8
1x8			1x8
5 u	3 u		8 u

(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 8 is 8. 

1x82x8 of total money = 811 of remaining amount
816 of total money = 811 of remaining amount

Fraction of her money that she spent on the jacket
= ^Jacket_Total 
= ⁵₁₆ 

(b)
Cost of the jacket = 5 u

5 u = 70

1 u = 70 ÷ 5 = 14

Cost of the shirt and the windbreaker
= 3 u
= 3 x 14
= $42

Cost of the windbreaker = 1 p
Cost of the shirt = 6 p

Total cost of the windbreaker and the shirt 
= 1 p + 6 p
= 7 p

7 p = 42

1 p = 42 ÷ 7 = 6

Amount that the shirt was more than the windbreaker
= 6 p - 1 p
= 5 p
= 5 x 6
= $30

Answer(s): (a) ⁵₁₆; (b) $30