Question 1202500
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plain pizza cost $7 each and a deluxe pizza costs $9 each. 
to feed the cast and crew of a high school production, the school ordered 30 pizzas 
in total and spent $250. How many of each type of pizza were ordered?
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Let n be the number of the $9 pizzas.

Then the number of the $7 pizzas is (30-n).


Write the total money equation

    9n + 7(30-x) = 250  dollars.


Simplify and find n

    9n + 210 - 7n = 250

    9n - 7n = 250 - 210

      2n    =    40

       n    =    40/2 = 20.


<U>ANSWER</U>.  20 pizzas at $9 each and 30-20 = 10 pizzas at $7 each.


<U>CHECK</U>.   20*9 + 10*7 = 180 + 70 = 250 dollars total.    ! correct !
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Solved.