SOLUTION: The buyer for a large department store must order 40 coats, some fake fur and some leather. She is unsure of the expected sales. She can buy 25 fake fur coats and the rest leathe

Algebra ->  Finance -> SOLUTION: The buyer for a large department store must order 40 coats, some fake fur and some leather. She is unsure of the expected sales. She can buy 25 fake fur coats and the rest leathe      Log On


   

Question 389034: The buyer for a large department store must order 40 coats, some fake fur and some leather. She is unsure of the expected sales. She can buy 25 fake fur coats and the rest leather for $9,300 or 10 fake fur coats and the rest leather for $12,600. How much does she pay if she decides to split the order evenly? If I told you the answer is $ 10,400, in your own words using complete sentences explain how you would solve this problem.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Let x represent cost of fake fur and y the cost of the leather coat

 Question states ...Write as we Read! (ordering a total of 40 coats)

 25x + 15y = $9300

 10x + 30y = $12600

 -50x - 30y = -$18600  Multiplying @ term in first equation by -2

  -40x = -$6000        Eliminating the y variable

     x = $150, cost of the fake fur



     10x + 30y = $12600

             y = (12600 - 1500)/30 = $370

Cost of splitting the order evenly

  20*150 + 20*380 = 3000 + 7400 = $10,400

Will leave it to you to put the solving technique into Your own words