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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.

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  1. 22 May, 23:48
    0
    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.
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