SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $13, and children were admitted for $11. If box office receipts totaled $7000, how many children at

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $13, and children were admitted for $11. If box office receipts totaled $7000, how many children at      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 495669: Six hundred people attended the premiere of a motion picture. Adult tickets cost $13, and children were admitted for $11. If box office receipts totaled $7000, how many children attended the premiere?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
600 = total number of people (given)
$7000 = total (given)
x = number of adults
600 -x = number of children
13x = receipts from adults
11(600-x) = receipts from children
.
13x + 11(600-x) = 7000
.
13x + 6600 - 11x = 7000
2x = 400
x = 200
.
(600-x) = 400
.
So, the answer appears to be:
200 adults
400 children
.
But ALWAYS check your answer!
.
13*200 = 2600 received from adults
11*400 = 4400 received from children
Total = 7000
Correct.
.
Re-read the question to make sure you answer it.
.
Answer:
A total of 400 children attended.
.
Done.