Question

The theater sells two types of tickets: adult tickets for $11 and child tickets for $9.

Last night the theater sold 262 tickets for a total of $2482. How many adult tickets did the theater sell last night?

Answer 1

a=62

Explanation:

11a + 9c=2482 equation 1

a + c = 262 equation 2

a=262-c isolate value of a in equation

11(262-c) + 9c = 2482 substitute value of a (262-c) into equation 2

2882-11c + 9c= 2482 solve

-2c=-400

c=200

a+c=262

a+200=262

a=62

Check answer:

11a + 9c=2482

11(62)+9(200)=2482

682+1800=2482

2482=2482