SOLUTION: If 112 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2.25 and total receipts for the concert was $269.75, how many of each went to the c

2.5*A + (112-A)*2.25 = 269.75         ( A = # of adults )


2.5A + 112*2.25 - 2.25A = 269.75


2.5A - 2.25A = 269.75 - 112*2.25


A =  = 71.


Answer.  71 adults  and  112-71 = 41 child.


Check.   71*2.5 + 41*2.25 = 269.75.   ! Correct !