Algebraic equation format

Question

Job Offer. Maria got two job offers for positions as a sales person selling home appliances. The first pays a weekly salary of $700 (only) while the second pays a base salary of $200 plus commission of 8% on the price of everything she sells. What value of product must Maria sell every week to match the salary of the first offer?

Answer 1

      First Offer         =         Second Offer

      $700                =          $200  +  (8/100)x

 

Note:  8% may be (8/100) or 0.08 as needed by the problem.

 

Now, we solve for x.

 

   $500 = (8/100)x

   ($500)(100/8) = x               [multiply both sides by 1008]

    $6250= x

 

Maria must sell $6250 of product every week to match the first offer.

 

Checking (vary important):

   Is    $700 = $200 + (8/100)($6250)   ?

          $700 = $200 + $500   ?

          $700 = $700   ?yes