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20 August, 12:37

A club decides to sell T-Shirts for 15$ as a fund-raiser. It cost $20 plus $9 per T-Shirt to make them. How many T-Shirts need to be made to make a profit of at least $150?

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  1. 20 August, 13:40
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    The expression for T-shirt production is 20+9T

    The expression for total price of selling the T-shirts is 15T

    Profit = Total cost of selling - Total cost of buying

    Profit = 15T - (20+9T)

    Profit = 15T - 20 - 9T

    Profit = 6T - 20

    To make profit ≥150

    6T - 20 ≥ 150

    6T ≥ 170

    T ≥ 170/6

    T ≥ 28.3

    The minimum number of T-shirts needed is 29 T-shirts
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