SOLUTION: Prices for the movie were $4.00 for children and $8.00 for adults. The total amount of ticket sales was $1176. There were 172 tickets sold.How many adults and children bought ticke

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Prices for the movie were $4.00 for children and $8.00 for adults. The total amount of ticket sales was $1176. There were 172 tickets sold.How many adults and children bought ticke      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 688938: Prices for the movie were $4.00 for children and $8.00 for adults. The total amount of ticket sales was $1176. There were 172 tickets sold.How many adults and children bought tickets?
c=children and a=adults
What I tried:
4c+8a=1176
c+a=172
I'm confused on how to solve the number for children tickets I keep getting -40, but I don't think that is right because you can't sell -40 tickets.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
4c+8a=1176
c+a=172
c=172-a
4(172-a)+8a=1176
688-4a+8a=1176
4a=1176-688
4a=488
a=488/4
a=122 ans. for the number of adult tickets sold.
c+122=172
c=172-122
c=50 ans. for the number of children tickets sold.
Proof:
4*50+8*122=1176
200+976=1176
1176=1176