The ticket for an adult costs $10 and the ticket for a child costs $7
Let adults tickets be a
Let children tickets be c
Based on the information given, the equation to solve the question will be:
2a + 4c = 48
5a + 2c = 64
Multiply equation i by 5
Multiply equation ii by 2
10a + 20c = 240
10a + 4c = 128
Subtract the equations
16c = 112
c = 112/16
c = 7
The ticket for a child is $7
Since 2a + 4c = 48
2a + 4(7) = 48
2a + 28 = 48
2a = 48 - 28
2a = 20
a = 20/2
a = 10
The ticket for an adult cost $10
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