Jose bought a pair of sneakers, a gaming headset and a t-shirt for $77. the headset cost two times
as much as the t-shirt and the pair of sneakers cost $25 more than the t-shirt.
1. which item was the cheapest, the pair of sneakers, the headset and the t-shirt? explain.

The cheapest item is T shirt costing $13.

Step-by-step explanation:

Let the cost of T shirt =  $ m

So, the cost of the headset = $ (2m)

and, The cost of Sneakers  = $ ( m + 25)

Total amount spent by Jose = $77

Now, According to the question:

$ m + $ (2m) + $ ( m + 25) = $77

or,  4m + 25 = 77  ⇒  4m = 77 - 25 =  52

or,  m = 52/4 = 13

⇒ The cost of one T- Shirt = m = $ 13

The cost of the headset = (2m)  =  13 x 2  = $ 26

The cost of Sneakers  = $ ( m + 25)  = 13+ 25 = $ 38

As, out of all costs, $13 is the lowest cost

Hence, the cheapest item is T shirt costing $13.