SOLUTION: A catering company is setting up tables for a big event that will host 764 people. When they set up the tables they need 2 forks for each child and 5 forks for each adult. If the c

Question 210726: A catering company is setting up tables for a big event that will host 764 people. When they set up the tables they need 2 forks for each child and 5 forks for each adult. If the company ordered a total of 2992 forks, how many adults and how many children will be attending the event?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A catering company is setting up tables for a big event that will host 764 people. When they set up the tables they need 2 forks for each child and 5 forks for each adult. If the company ordered a total of 2992 forks, how many adults and how many children will be attending the event?
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People Equation: c + a = 764
Fork Equation:::2c + 5a = 2992
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Multiply thru the people equation by 2 to get:
2c + 2a = 1528
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Subtract that from the Fork Equation to get:
3a = 1464
a = 488 (# of adults)
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Substitute to solve for "c":
c + 488 = 764
c = 276 (# of children)
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Cheers,
Stan H.
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