Helen spent $45 on a shirt. She spent ⁴₁₁ of her remaining money on a blazer and a jumpsuit, after which half her money was left.

1. What fraction of her money did she spend on the shirt?
2. The cost of the jumpsuit is ¹₅ the cost of the blazer. How much more does the blazer cost than the jumpsuit?

Shirt	Remaining amount
	Blazer	Jumpsuit	Left
$45	4		7
1x7			1x7
3 u	4 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 = 711 of remaining amount
714 of total money = 711 of remaining amount

Fraction of her money that she spent on the shirt
= ^Shirt_Total 
= ³₁₄ 

(b)
Cost of the shirt = 3 u

3 u = 45

1 u = 45 ÷ 3 = 15

Cost of the blazer and the jumpsuit
= 4 u
= 4 x 15
= $60

Cost of the jumpsuit = 1 p
Cost of the blazer = 5 p

Total cost of the jumpsuit and the blazer 
= 1 p + 5 p
= 6 p

6 p = 60

1 p = 60 ÷ 6 = 10

Amount that the blazer was more than the jumpsuit
= 5 p - 1 p
= 4 p
= 4 x 10
= $40

Answer(s): (a) ³₁₄; (b) $40