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3 May, 02:05

A coffee stand sells cups of coffee for $6 and cups of tea for $3. Tuesday, a total of 75 cups were sold, and the total money collected was $312. How many cups of coffee and how many cups of tea were sold?

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  1. 3 May, 04:50
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    C + t = 75 ... c = 75 - t

    6c + 3t = 312

    6 (75 - t) + 3t = 312

    450 - 6t + 3t = 312

    -6t + 3t = 312 - 450

    -3t = - 138

    t = - 138/-3

    t = 46 < = = = 46 cups of tea were sold

    c = 75 - t

    c = 75 - 46

    c = 29 < = = = 29 cups of coffee
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