Word Problem

Question

Mitchell currently sells stoves for company A at a salary of$12,000 plus a $150 commission for each stove he sells. Company B offers him a position with a salary of $24,000 plus a $50 commission for each stove he sells. How many stoves would Mitchell need to sell for the options to be equal?

 

How do i set up the equation step by step?

Answer 1

Hell, John,

    Let x=number of cars

 

                                                                                                                                      20,000            +  

Let me give you my own example worded just like yours:   Say that Salesman A makes $20,000 per year plus

   400 (x)

$400 for each car earned for the year.

                                                         +         500 (x)   

Salesman B makes $35,000 per year plus $500 per car.  How many cars would Salesman A need to sell in order for their amounts earned for the year to be the equal?

 

The  set salaries for each salesman doesn't change, but the number that each one sells is the variable.

Salesman A     $20,000 + $400(x)               Next, make the amounts equal to each other.

               B     $35,000+ $500X             20,000+ 400x= 35,000 + 500x      Solve for "x"