Question

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

Answer 1

Answer:

adult=10

Child=7

One adult and one child=10+7=17

Step-by-step explanation:

Let a be the price of an adult ticket

c = price of the child ticket

2a+4c = 48

5a+2c = 64

Multiply the second equation by -2 and add to the first equation

2a+4c = 48

-10a-4c = -128

---------------------

-8a +0c = -80

Divide by -8

-8a/-8 = -80/-8

a = 10

Now find c

2a+4c=48

2(10)+4c=48

20+4c=48

4c=48-20

4c=28

4c/4=28/4

c=7

Answer 2

Answer:

look at the photo..........