Question

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?

Answer 1

Let c be children tickets and a adult tickets

5c+3a=25
4c+4a=28

Multiply all of the top row by -4
Multiply all of the bottom row by 3

-20c-12a=-100
12c+12a=84
a's cancel so you have
-8c= -16
Divide by -8
C= $2
Children tickets = $2