SOLUTION: What is an algebra expression equation for the cost of a party is $5,115.50 when a childs plate cost $5.50 and and adult plate cost $12.00 and the total number of people are 546?

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Question 414326: What is an algebra expression equation for the cost of a party is $5,115.50 when a childs plate cost $5.50 and and adult plate cost $12.00 and the total number of people are 546?
Found 2 solutions by nerdybill, ewatrrr:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
What is an algebra expression equation for the cost of a party is $5,115.50 when a childs plate cost $5.50 and and adult plate cost $12.00 and the total number of people are 546?
.
Let x = number of child plates
then
546-x = number of adult plates
.
5.50x + 12(546-x) = 5115.50
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

total number of people are 546

Letting x and (546-x)represent the number of adults and children respectively...

 12.00x + 5.50(546-x) = $5115.50

            6.50x = 5115.50 - 5.50*546 

                x = 325, the number of adult plates.  221 children plates



CHECKING our Answer***

 $12*325 + $5.50*221 = $5115.50 

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