Question

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.

Answer 1

The cheapest item is T shirt costing $13.

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.