Question

When a family with two adults and three children bough the tickets for an amusement park, the young paid a total of $56.50. the next family in line with four children and 1 adult paid $49.50. find the adult and child ticket prices by writing and solving a system of equations.?

Answer 1

2a+3c=56, a+4c=49.50

2a+3c=56.00
-2(a+4c=49.50)
_______________
2z+3c=56
-2a-8c=99
____________
0+-5c=-43
-5c=-43
c= -43/-5
child ticket=8.60
now take c and plug the answer into the first equation: 2a+3c=56, 2z+3(8.60)=56, 2z+25.80=56, 2a=56-25.80, 2a= 30.20, a=30.20/2, adult tickets =15.10