Michael had $301 and Perry had $153 at first. Each of them bought an identical hoodie and an identical shirt from the same shop. The shirt cost 3 times as much as the hoodie. In the end, Michael had 5 times as much money as Perry. What was the cost of the hoodie?

	Michael	Perry	Difference
Before	$301	$153	$148
Change	- 1 hoodie - 1 shirt	- 1 hoodie - 1 shirt
After	5 u	1 u	4 u

Since Michael and Perry 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 = 301 - 153
4 u = 148

1 u = 148 ÷ 4 = 37

Amount that Perry had in the end
= 1 u
= $37

Cost of 1 hoodie and 1 shirt
= 153 - 1 u
= 153 - 37
= $116

The shirt cost 3 times as much as the hoodie.

Cost of 1 hoodie = 1 p
Cost of 1 shirt = 3 p

Total cost of 1 hoodie and 1 shirt
= 1 p + 3 p
= 4 p

4 p = 116

1 p = 116 ÷ 4 = 29

Cost of the hoodie
= 1 p
= $29

Answer(s): $29