O go to a movie a family with 2 adult and 4 children send $64.00. A family containing 1 adult and 3 children spend $42.00. Find the cost of an adult movie and the cost of a child movie.

The answer to your question is adult = $12, children = $10

Step-by-step explanation:

Data

Family 1 Family 2

2 adult + 4 children = $64 1 adult + 3 children = $42

adult cost = a = ?

children cost = c = ?

Process

1. - Write two equations to solve this problem

2a + 4c = 64 Equation l

a + 3c = 42 Equation ll

2. - Solve the system of equation by elimination

-Multiply equation ll by - 2

2a + 4c = 64

-2a - 6c = - 84

0 - 2c = - 20

c = - 20/-2

c = 10

3. - Substitute c in equation ll to find a

a + 3 (10) = 42

a + 30 = 42

a = 42 - 30

a = 12

4. - Conclusion

the cost for adult is $12 and the cost for adults is $10