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Adult tickets for the school musical sold for 3.50 and student tickets sold for 2.50. Three hundred twenty-one tickets were sold all together for 937.50. How many of each kind of ticket were sold?

 Sep 8, 2021
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   Adult tickets for the school musical sold for 3.50 and student tickets sold for 2.50.     

   Three hundred twenty-one tickets were sold all together for 937.50.     

   How many of each kind of ticket were sold?     

 

   A + S  =  321                       —>     S  =  321 – A     

   3.50A + 2.50S  =  937.50     

 

   3.50 (A)  +  2.50 (321 – A)  =  937.50     

   3.50A + (2.50)(321) – 2.50A  =  937.50     

   3.50A – 2.50A  =  937.50 – 802.50     

                       A  =  135     

                       S  =  321 – 135     

                       S  =  186     

 

   check answer     

 

   Does  (3.50)(135)  +  (2.50)(186)  =  937.50   ?     

                 472.50     +     465.00      =  937.50     

                                        937.50      =  937.50   True     

   .     

 Apr 22, 2026

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