Final answer:
After setting up two equations based on the number of tickets and total revenue, and substituting values to solve for the children's tickets, we find that 110 children's tickets were sold.
Step-by-step explanation:
The question asks for the number of children's tickets sold for a sporting event, given that the total revenue from ticket sales was $2,340, with $6 tickets for children and $8 tickets for adults. There were a total of 320 tickets sold.
Let's denote the number of children's tickets as C and the number of adult tickets as A. The total number of tickets sold is given as 320, so we have:
C + A = 320
We are also provided with the total revenue, which is comprised of revenue from children's tickets (at $6 each) and adult tickets (at $8 each), which adds up to $2,340, so another equation is:
6C + 8A = 2340
To solve for C, first, we need to express A in terms of C:
A = 320 - C
Now substitute this into the revenue equation:
6C + 8(320 - C) = 2340
Simplify and solve for C
6C + 2560 - 8C = 2340
-2C = 2340 - 2560
-2C = -220
C = 110
Therefore, 110 children's tickets were sold.