Customers of a phone company can choose between two service plans for long distance calls. The first plan has no monthly fee but charges $0.17 for each minute of calls. The second plan has a $30 monthly fee and charges an additional $0.13 for each minute of calls. For how many minutes of calls will the costs
of the two plans be equal?

Okay so n is going to represent our first number. since the second number of five times greater than n, the second number will be represented as 5n. for us to figure out the two  numbers we need to have  the value of n first. this is going to be done by adding the two numbers together, n and 5n. it can be simplified as 6n, which the problem states is equal to 72. divide 72 by 6n and you can solve for n.  n+5n=726n=72n=(72/6)n=12  now that we know the value of n, we have to multiply 5 times 12 which equals 60. so our two numbers/integers are 12 and 60