algebra

Tickets for a play at the community theater cost $4 for an adult and $2 for a child. If 250 tickets were sold and the total receipts were $740, how many of each type of ticket were sold?

Let x = number of tickets (adult)
Let (250 - x) = number of tickets (child)

Setting up the equation:

4x + 2(250 - x) = 740

Solve for x. Don't forget to include both types of tickets!

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  1. 4x+2(250-x=740
    4x+500-x=740
    4x=740-500 cancellation, divide
    4x=240 divide 240 by 4
    x=60 ans. then substitute x value to neither equation and solve for y.

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  2. 70

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  3. 4x+2(250-x)=740
    4x+500-2x=740
    4x-2x=740-500
    2x=240
    x=120

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