Question

The theater sells two types of tickets: adult tickets for $6 and child tickets for $4.

Last night, the theater sold a total of 364 tickets for a total of $1930. How many adult tickets did the theater sell last night?

Answer 1

237

Explanation:

This is a system of equations.

The theater sold 364 adult and child tickets, so a + c = 364

They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.

Let's line them up

a + c = 364

6a + 4c = 1930

Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:

-4a - 4c = -1456

6a + 4c = 1930 Add them together

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2a = 474 Divide by 2 to solve for a

a = 237

There were 237 adult tickets sold