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

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl