At a movie theater, the price of 2 adult tickets and 4 child tickets is 48$. The price of 5 adults and 2 child ticket is $64. What is the ticket price for one adult and for one child?

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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7

step-by-step explanation:

the answer would be 7