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Answer:
10$ per adult and 7$ per child
Step-by-step explanation:
Consider the adult tickets as x and child tickets as y. You don't how much it costs per child and adult, so make a function that includes the known total price and the number of people.
48$ = 2x + 4y
64$ = 5x + 2y
Find out the price per person by doing the comparison method
First, even out and cancel the child price (y) for 64$
48$ = 2x + 4y
2(64) = 2(5x + 2y) -> 128 = 10x + 4y
Now we can subtract both of them
48 - 128 = 2x + 4y - 10x - 4y
-80 = -8x
x = 10
You know that x is the adult price, therefore adult is 10$. You still need to find the price per child, just plug in x in one of the function.
2(10) + 4y = 48
20 + 4y = 48
48 - 20 = 4y
28 = 4y
y = 7
Now you know that it is 10$ per adult and 7$ per child