SOLUTION: Movie tickets at a local theater cost $6 for adults an $2 for children. If 175 tickets were sold, with cash receipts of $750, how many children's tickets were sold?
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Question 388052: Movie tickets at a local theater cost $6 for adults an $2 for children. If 175 tickets were sold, with cash receipts of $750, how many children's tickets were sold?
Thanks for your help. I have a hard time with word problems.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the number of adult tickets sold. Let 
represent the number of child tickets sold. Since adult tickets cost $6, the value of all of the adult tickets sold must be 
. Likewise, the value of all of the child tickets has to be 
.
The sum of these two values has to be the total cash receipts (unless they sold some space alien tickets we don't know about), so we can write:
We also know that there were 175 tickets sold, and again, since there were only two kinds of tickets, we can say:
Solve the system of equations. The value of is the answer.
John
My calculator said it, I believe it, that settles it
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