SOLUTION: If 109 people attend a concert and tickets for adults cost $4 while tickets for children cost $3 and total receipts for the concert was $395, how many of each went to the concert?

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Question 904715: If 109 people attend a concert and tickets for adults cost $4 while tickets for children cost $3 and total receipts for the concert was $395, how many of each went to the concert?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+c=109,
4*a+3*c=395
a=109-c
4*(109-c)+3*c=395
436-4c+3*c=395
-1*c=-41
c=41
a=109-c
a=68 at 4 and c=41 at 3
check
68+41=109
4*a+3*c=395
4*68+3*41=395
272+123=395
395=395
ok