Story problem in description

Question

A company has five more than seven times more blue color workers than white color workers. If the total number of employees is 117, how many blue color workers are there?

 

 

Must show a "Let Statement" or an Equation used

Answer 1

  Let x = the number of white collar workers

     

"total number of employees is 117" means
    (white collar workers) + (blue collar workers) = 117

    (blue collar workers) = 117 - x

 

"five more than seven times more blue color workers than white color workers"  means

       5    +       7 * (white collar workers)    =   (blue collar workers)

         5  + 7x = 117 - x

             8x = 112

              x = 14

There are 13 white collar workers.

    (blue collar workers) = 117 - x  =  117 - 14  =  103

   

There are 103 blue collar workers.

 

Check:    Is 5 + 7(14) = 103   ?

                  5 + 98 = 103   ?

                   103 = 103   ?yes