# algebra

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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!

• algebra -

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.

• algebra -

70

• algebra -

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

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