Question 540652


A = tickets sold for adults
C = tickets sold for Senior citizens


Information provided:


T = Total tickets sold
T = 493


23A = money got from selling tickets for adults
14C = money got from selling tickets for Seniors


23A + 14C = 8270


We know that "tickets sold for adults" + "tickets sold for Senior citizens" = "Total tickets sold"


That is:


A + C = T
A + C = 493


We work out "A" from the previous equation:


A = 493 - C


Now, substitute "A = 493 - C" into "23A + 14C = 8270"


23*(493-C) + 14C = 8270
11339 -23C + 14C = 8270
11339 -9C  = 8270
11339 - 8270 = 9C
3069 = 9C
3069/9 = C
C = 341



The answer is that: 341 tickets for Senior Citizens were sold.



If we need the total tickets sold for Adults, just substitute "C = 341" into "A = 493 - C"


A = 493 - C
A = 493 - 341
A = 152



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