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

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Question 330598: 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?
I am missing something in how to build the equation and solve this... This ones got me stumped, Any help will be great!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the cost of a fake fur coat and represent the cost of a leather coat. Then is the cost of 25 fake fur coats and is the cost of the leather coats, so:



Similarly,



Solve the system for and , and then substitute the values into:



To calculate the cost of an evenly split order.


John

My calculator said it, I believe it, that settles it