Jimmy's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets
and 6 child tickets for a total of $80. The school took in $84 on the second day by
selling 4 adult tickets and 7 child tickets. Find the price of an adult ticket and the
price of a child ticket.
3

Children’s tickets are $4, adult tickets are $14

Explanation:

4a+6c=80

If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.

4a+6*4=80
4a+24=80
4a=56
14=a

So each adult ticket costs $14.

You can check by filling in $14 and $4 for each equation.

4*14+6*4=80

4*14+7*4=84