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math word problem

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"Adult tickets are $6, Kids are $3. If the total sales are $585, but only 120 tickets were sold, how many adult tickets were sold?

If this was 130 it would be easy: $3+$6 =$9; $585/$9 = 65 tickets. The problem is the question specifies 120 tickets.

  • math word problem -

    adult tickets ---- x
    children tickets -- y

    x+y = 120

    cost equation:
    6x + 3y = 585
    or after dividing by 3
    2x + y = 195

    subtract the two equations:
    2x+y = 195
    x + y = 120
    ----------
    x = 75
    then in x+y = 120
    75 + y = 120
    y = 45

    they sold 75 adults, and 45 children tickets

    check:
    75(6) + 45(3) = 585 , yeahhhh

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