Helen spent $100 on a skirt. She spent ³₁₁ of her remaining money on a coat and a jacket, after which half her money was left.

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

Skirt	Remaining amount
	Coat	Jacket	Left
$100	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 skirt
= ^Skirt_Total 
= ⁵₁₆ 

(b)
Cost of the skirt = 5 u

5 u = 100

1 u = 100 ÷ 5 = 20

Cost of the coat and the jacket
= 3 u
= 3 x 20
= $60

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

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

4 p = 60

1 p = 60 ÷ 4 = 15

Amount that the coat was more than the jacket
= 3 p - 1 p
= 2 p
= 2 x 15
= $30

Answer(s): (a) ⁵₁₆; (b) $30