Help! Problem solving math problem?

The Concordia Theatre contains 500 seats and the ticket prices for a recent play were $43 for adults and $28 for children. For one matinee, if the total proceeds were $16,805, how many children and how many adult tickets were sold?

1 Answer

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  • Al
    Lv 7
    8 years ago

    You need two equations. Let A = Adults and C = children

    So total adults + total children = 500, therefore

    A + C = 500 The second equation involves cost $43 per Adult and $28 for Children and the total money is 16805. So second equation is 43A + 28C = 16805

    A + C = 500

    43A + 28C = 16805

    Rearrange the 1st equation to solve for A. A = 500 - C and substitute into the second equation.

    43(500 - C) + 28C = 16805 Simplify to get

    21500 - 43C + 28C = 16805 simplify further

    -15C = -4695 and C = 313 so you had 313 children

    Adults would be 500 - 313 or 187

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