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At a theater, 2 adult tickets and 4 child tickets cost $48.
5 adult tickets and 2 child tickets cost $64.
How much does each ticket cost?

Sagot :

BrotherGokuidn

Answer:

10$ per adult and 7$ per child

Step-by-step explanation:

Consider the adult tickets as x and child tickets as y. You don't how much it costs per child and adult, so make a function that includes the known total price and the number of people.

48$ = 2x + 4y

64$ = 5x + 2y

Find out the price per person by doing the comparison method

First, even out and cancel the child price (y) for 64$

48$ = 2x + 4y

2(64) = 2(5x + 2y) ->  128 = 10x + 4y

Now we can subtract both of them

48 - 128 = 2x + 4y - 10x - 4y

-80 = -8x

x = 10

You know that x is the adult price, therefore adult is 10$. You still need to find the price per child, just plug in x in one of the function.

2(10) + 4y = 48

20 + 4y = 48

48 - 20 = 4y

28 = 4y

y = 7

Now you know that it is 10$ per adult and 7$ per child

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