Helen spent $45 on a blouse. She spent ²₉ of her remaining money on a coat 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 ¹₅ the cost of the coat. How much more does the coat cost than the sweater?

Blouse	Remaining amount
	Coat	Sweater	Left
$45	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 blouse
= ^Blouse_Total 
= ⁵₁₄ 

(b)
Cost of the blouse = 5 u

5 u = 45

1 u = 45 ÷ 5 = 9

Cost of the coat and the sweater
= 2 u
= 2 x 9
= $18

Cost of the sweater = 1 p
Cost of the coat = 5 p

Total cost of the sweater and the coat 
= 1 p + 5 p
= 6 p

6 p = 18

1 p = 18 ÷ 6 = 3

Amount that the coat was more than the sweater
= 5 p - 1 p
= 4 p
= 4 x 3
= $12

Answer(s): (a) ⁵₁₄; (b) $12