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A local theatre sells out for their show. They sell all 500 tickets for a total purse of $8,040.00. The tickets were priced at $15 for students, $12 for children, and $18 for adults. If the band sold three times as many adult tickets as children's tickets, how many of each type were sold?

 Jul 27, 2020
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c = children tix                                             value = 12c

a = adult tix =  3c                                         value =  18(3c) = 54c

s = student tix = 500-c-3c = 500-4c             value = 15 (500-4c)                              summed = 8040

 

12c   + 54c  + 15 (500-4c)    = 8040     solve for   c     

                                                                   then   a = 3c      and   s = 500- 4c

 Jul 28, 2020
edited by ElectricPavlov  Jul 28, 2020

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