Lee had $280 and George had $176 at first. Each of them bought an identical hoodie and an identical blouse from the same shop. The blouse cost 4 times as much as the hoodie. In the end, Lee had 5 times as much money as George. What was the cost of the hoodie?

	Lee	George	Difference
Before	$280	$176	$104
Change	- 1 hoodie - 1 blouse	- 1 hoodie - 1 blouse
After	5 u	1 u	4 u

Since Lee and George bought the same items, the difference  in their amounts remains the same.

Difference in the amounts that they had
= 5 u - 1 u
= 4 u

4 u = 280 - 176
4 u = 104

1 u = 104 ÷ 4 = 26

Amount that George had in the end
= 1 u
= $26

Cost of 1 hoodie and 1 blouse
= 176 - 1 u
= 176 - 26
= $150

The blouse cost 4 times as much as the hoodie.

Cost of 1 hoodie = 1 p
Cost of 1 blouse = 4 p

Total cost of 1 hoodie and 1 blouse
= 1 p + 4 p
= 5 p

5 p = 150

1 p = 150 ÷ 5 = 30

Cost of the hoodie
= 1 p
= $30

Answer(s): $30