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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.

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Answer:

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

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

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