A new business is hiring managers and employees. The company needs at least 20 managers and no more than 500 employees. A total of at least 400 people must be hired. Write a system
of linear inequalities to represent the constraints of this situation. Let x represent the number
of managers and let y represent the number of employees.

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