An office manager booked 61 airline tickets. He booked 8 more tickets on Airlines A than Airlines B. On Airlines C, he booked 5 more than twice as many tickets as on Airlines B. How many tickets did he book on each airline?
We first denote b as the total number of tickets booked on airline b, we construct the following equation:
b+b+8+2b+5=61
4b+13=61
4b=48
b=12
So on airline b he booked 12, on a he booked 20, and on c he booked 29.