Helen spent $75 on a sweater. She spent ²₉ of her remaining money on a coat and a shirt, after which half her money was left.

1. What fraction of her money did she spend on the sweater?
2. The cost of the shirt is ¹₄ the cost of the coat. How much more does the coat cost than the shirt?

Sweater	Remaining amount
	Coat	Shirt	Left
$75	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 sweater
= ^Sweater_Total 
= ⁵₁₄ 

(b)
Cost of the sweater = 5 u

5 u = 75

1 u = 75 ÷ 5 = 15

Cost of the coat and the shirt
= 2 u
= 2 x 15
= $30

Cost of the shirt = 1 p
Cost of the coat = 4 p

Total cost of the shirt and the coat 
= 1 p + 4 p
= 5 p

5 p = 30

1 p = 30 ÷ 5 = 6

Amount that the coat was more than the shirt
= 4 p - 1 p
= 3 p
= 3 x 6
= $18

Answer(s): (a) ⁵₁₄; (b) $18