When a family with 2 adults and 3 children bought tickets for an amusement park, they paid a total of $56.50. the next family, with 4 children and one adult, paid $49.50. what was the price of an adult ticket and a child ticket using system of equations.

A=adult
c=child
Equation 1 (the first family)
2a+3c=56.5
Equation 2 (the second family)
a+4c=49.5 multiply by 2
2a+8c=99  multiply by -1
-2a-8c=-99
Systems of Equations
    (2a+3c=56.5)
+  (-2a-8c=-99)

         -5c=-42.5
             c=$8.5
Substitute
2a+3*8.5=56.5
2a+25.5=56.5
2a=31
a=$15.5
Conclusion
Adult Ticket: $15.5
Child Ticket: $8.5