SOLUTION: the school recently performed 'shrek'. They solf two types of tockets, student and non-student to tickets. Student tickets cost 5$ each and non student tickets cost 9$ each. If the

Algebra ->  Average -> SOLUTION: the school recently performed 'shrek'. They solf two types of tockets, student and non-student to tickets. Student tickets cost 5$ each and non student tickets cost 9$ each. If the      Log On


   

Question 1035515: the school recently performed 'shrek'. They solf two types of tockets, student and non-student to tickets. Student tickets cost 5$ each and non student tickets cost 9$ each. If they sold 250 more student tickets than non student tickets and earned a total of 7,018$, how many of each type did they sell?
Found 3 solutions by josmiceli, stanbon, Edwin McCravy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+%2B+250+ = number of student tickets sold
Let +x+ = number of non-student tickets sold
------------------
+5%2A%28+x+%2B+250+%29+%2B+9x+=+7018+
+5x+%2B+1250+%2B+9x+=+7018+
+14x+=+5768+
+x+=+412+
and
+x+%2B+250+=+662+
--------------------
662 student tickets were sold
412 non-student tickets were sold
-------------------------------
check:
+5%2A%28+x+%2B+250+%29+%2B+9x+=+7018+
+5%2A662+%2B+9%2A412+=+7018+
+3310+%2B+3708+=+7018+
+7018+=+7018+
OK

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the school recently performed 'shrek'. They sold two types of tockets, student and non-student to tickets. Student tickets cost 5$ each and non student tickets cost 9$ each. If they sold 250 more student tickets than non student tickets and earned a total of 7,018$, how many of each type did they sell?
------
Quantity Eq:: s = n + 250
Value Eq:: 5s + 9n = 7018
---------
Modify for elimination::
5s - 5n = 5*250
5s + 9n = 7018
-------------------
Substract and solve for "n"::
14n = 5768
n = 412 non-student tickets sold
-----------
s = n + 250 = 662 student tickets sold
-------------
Cheers,
Stan H.
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Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
...they sold 250 more student tickets than non student tickets...
Let the number of non-student tickets be x
Then the number of student tickets is x+250


                        Money    Money
Type         Number     from     from      
 of           of        EACH      ALL
ticket      tickets    ticket   tickets
-------------------------------------------
student      x+250      $5       $5(x+250)
non-student    x        $9       $9x
-------------------------------------------
                         TOTAL = $7018



 The equation comes from the "Money from ALL tickets" column.
  %28matrix%284%2C1%2CMoney%2Cfrom%2Cstudent%2Ctickets%29%29%22%22%2B%22%22%28matrix%284%2C1%2CMoney%2Cfrom%2Cnon-student%2Ctickets%29%29%22%22=%22%22%28matrix%285%2C1%2CTotal%2Cmoney%2Cfrom%2CALL%2Ctickets%29%29

            5(x+250) + 9x = 7018

           5x + 1250 + 9x = 7018
               14x + 1250 = 7018    
                      14x = 5760
                        x = 412 = the number of non-student tickets.

he number of student tickets is x+250, which equals
                              412+250 = 662
                              So 662 student tickets.

Checking:  662 student tickets is $3310 and 412 non-student is $3708
            662 is 250 more than 412
            And indeed $3310 + $3708 = $7018
Edwin