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

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)   (Show Source): You can put this solution on YOUR website!
Let = number of student tickets sold
Let = number of non-student tickets sold
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and

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662 student tickets were sold
412 non-student tickets were sold
-------------------------------
check:

OK

Answer by stanbon(75887)   (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?
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Quantity Eq:: s = n + 250
Value Eq:: 5s + 9n = 7018
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Modify for elimination::
5s - 5n = 5*250
5s + 9n = 7018
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Substract and solve for "n"::
14n = 5768
n = 412 non-student tickets sold
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s = n + 250 = 662 student tickets sold
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Cheers,
Stan H.
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Answer by Edwin McCravy(20056)   (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. 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

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