SOLUTION: tickets for a show are $6.00 for adults and $3.00 for children. 505 tickets sold for a total of $1,997. how many of each ticket sold?

Question 163022: tickets for a show are $6.00 for adults and $3.00 for children. 505 tickets sold for a total of $1,997. how many of each ticket sold?
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let x be the number of adult tickets sold.
Then the number of children ticket sold is 505 - x.
The revenue from selling adult tickets is 6x.
The revenue from selling adult tickets is 3(505 - x).
As the total revenue is $1997, we have
6x + 3(505 - x) = 1997
Solving the equation for x, we have
6x + 1515 - 3x = 1997
3x = 482
x = 160.66
I think one of the given numbers must be wrong, as the solution should be an integer.

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