Question

The theater sells two types of tickets: adult

tickets for $15 and child tickets for $13.
Last night, the theater sold a total of 340
tickets for a total of $4712. How many adult
tickets did the theater sell last night?

Answer 1

146 tickets

Explanation:

Rewriting the question into equations, we get

15x + 13y = 4712

x + y = 340

Step 1: Multiply the second equation so we can eliminate x and solve for y

15x + 13y = 4712

15(x+y = 340)

Solve for y!

15x + 13y = 4712

- 15x + 15y = 5100

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

-2y = -388

y = 194

Now solve for x by plugging in the value of y into one of the equations.

(always pick the simple one)

x + 194 = 340

x = 340 - 194

x = 146

Don't mind me, I misread the question and solve it for both x and y. The answer still remains correct though, it's just there's an extra answer.