SOLUTION: You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1,450. How man

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1,450. How man      Log On


   

Question 969819: You are selling tickets for a high school basketball game. Student
tickets cost $3 and general admission tickets cost $5. You sell 350
tickets and collect $1,450. How many student tickets did you sell?
I would like your help on this word problem and how I can go about solving it.
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of student's tickets be x
Then the number of gen. adm. tickets, using
ONE PART = TOTAL MINUS OTHER PART,
is 350-x.
                       Money     Money
 Type       Number     from       from
  of          of       EACH       ALL
ticket     tickets    ticket    tickets
-------------------------------------------
student's    x          $3      $3x
gen. adm.  350-x        $5      $5(350-x)
-------------------------------------------
TOTALS      350        -----    $1450

 The equation comes from the column on the right

  %28matrix%285%2C1%2CMoney%2Cfrom%2CALL%2C%22student%27s%22%2Ctickets%29%29%22%22%2B%22%22%28matrix%285%2C1%2CMoney%2Cfrom%2CALL%2C%22gen.+adm.%22%2Ctickets%29%29%22%22=%22%22%28matrix%285%2C1%2CTotal%2Cmoney%2Cfrom%2CALL%2Ctickets%29%29

        3x + 5(350-x) = 1450

       3x + 1750 - 5x = 1450

           -2x + 1750 = 1450

                  -2x = -300

                    x = 150 = the number of student's tickets.

The number of gen. adm. tickets is 350-x or 350-150 or 200 gen. adm.s.

Checking:  150 student's is $450 and 200 gen. adm.s is $1000

            And indeed $450 + $1000 = $1450

Edwin