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3 years ago

14

the local theater is showing a matinee and offering a special deal for the community. A ticket for an adult costs $11 and a tick

et for a child is $6. The theater sells a total of 60 tickets and collects $460. How many adult tickets x and children tickets y are sold ?

1 answer:

Montano1993 [528]3 years ago

4 0

We will call an adult ticket <em>a</em>, and a child ticket <em>c</em>.

Since they sold 60 tickets in total, we can form the equation:
a + c = 60

We can also say that the sum of money from the adult tickets and child tickets combined is 460.
Thus we can say
11a + 6c = 460

Now, we must solve our system.

a + c = 60
11a + 6c = 460

6a + 6c = 360
11a + 6c = 460

-5a = -100
a = 20

Thus, (20) + c = 60
c = 40

a = 20 and c = 40

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<h3><u>Option 1</u></h3>

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