The local high school is having a talent show. on monday they sale 5 children tickets and 3 adult tickets for $25 on tuesday they sale 4 children tickets and 4 adult tickets for $28. how much does a child's ticket cost?

5c + 3 a =25  c is the cost of children ticket and a is the cost for adult tickets.

4c +4a =28

Now multiply first equation by 4 and the second equation by 5

20c +12a =100
20c +20a = 140

Now subtract equation 2 from 1 we have -8a =-40 a = 5
Now substitute the value of a in equation 1    5c =25-15 c= 10/5 =2

children's ticket cost $2

The answer for this question is 80