SOLUTION: a catering company is setting up table for a big event that will host 746 people. when they set up the tables they need 2 forks for each child and 5 forks for each adult. if the co

Question 833825: a catering company is setting up table for a big event that will host 746 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 josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
a, count of adults
c, count of children

a+c=746 accounts for the guests
5a+2c=2992 accounts for forks

c=746-a;
5a+2(746-a)=2992
5a+2*746-2a=2992
3a=2992-2*746
3a=1500
a=500
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