Rael and Caden had $187 and $111 respectively. Each of them bought a shirt and a hoodie at the same price. The cost of the shirt was 3 times as much as the hoodie. In the end, Rael had 5 times as much money as Caden. What was the difference between the cost of the hoodie and the shirt?

	Rael	Caden	Difference
Before	$187	$111	$76
Change	- 4 p	- 4 p
After	5 u	1 u	4 u

Since Rael and Caden bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.

5 u - 1 u = 187 - 111
4 u = 76

1 u = 76 ÷ 4 = 19

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

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

4 p = 111 - 19
4 p = 92

1 p = 92 ÷ 4 = 23

Difference in the cost between the shirt and the hoodie
= 3 p - 1 p
= 2 p
= 2 x 23
= $46

Answer(s): $46