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14 October, 09:45

Today a bakery sold 90 cupcakes and 60 doughnuts. The number of cupcakes sold has been increasing by 6 every day. Consequently, the number of doughnuts sold has been decreasing by 8 everyday. How many days will it be until the number of cupcakes sold is three times the number of doughnuts sold?

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  1. 14 October, 12:07
    0
    3 days

    Step-by-step explanation:

    Cupcakes: 90 + 6d

    Increasing by 6 each day

    Doughnuts: 60 - 8d

    Decreasing by 8 each day

    We want the number of cupcakes sold to equal = 3 times the number of doughnuts sold. Take the expression for cupcakes and set it equal to 3 times the expression for doughnuts

    90 + 6d = 3 (60-8d)

    Distribute

    90 + 6d = 180 - 24d

    Add 24d to each side

    90 + 6d + 24d = 180-24d + 24d

    90 + 30d = 180

    Subtract 90 from each side

    90-90 + 30d = 180 - 90

    30d = 90

    Divide by 30

    30d/30 = 90/30

    d = 3
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