A Merchant Has Coffee Beans Which Are Sold For $9 Per Pound And $12 Per Pound. The Two Types Of Beans Are To Be Mixed To Create 100lb Of Mixture That Will Sell For $11.25 Per Pound. How Much Of Each Type Of Beans Should Be Used In The Mixture?
Answer:
Let C be the number of pounds of "cheap" beans, and let E be the number of pounds of "expensive" beans.
(C lb) + (E lb) = 100 lb
If the revenue from selling the mixture is the same as the revenue from selling each of the constituent beans, afterwards
($9/lb)*(C lb) + ($12/lb)*(E lb) = ($11.25/lb)*(100 lb)
Since we know the units work out OK, we can sort of ignore them until the end.
Multiply the first equation by 9 and subtract it from the second ...
(9C + 12E) - 9(C + E) = 100*11.25 - 9(100)
E(12 - 9) = 100(11.25 - 9)
3E = 225
E = 75
C = 100 - E = 25
Our mix is 75 pounds of expensive beans and 25 pounds of cheap beans.
_____
If you be actually in business and wanted to trade name a little money for the trouble you took to mix these, you could change the ratio in favor of the cheap beans. Savvy shoppers will numeral that out. This is one reason why the better mixes of nuts, for example, will tell you the percentage of peanuts--so you know you aren't paying the cashew price for mostly peanuts.
Resolved Questions:
How Do I Clean Spoon And Fork?
Spoons & forks are cleaned in the kitchen sink or dishwasher. You use the proper cleaners for which ever method you choose to use. Wash in hot water to capture the germs off and let air dry. By wash it
My Dog Keeps Shaking His Ears And Though I Have Flushed His Ears Out...
No, do not use vinegar, mix 25% alcohol & 75% peroxide together and use this a ear drops. Not sure if you are still having a problem with your dog or not but I just have my Pug's ears flushed...
How Do I Cut A Duck Into Four Sections?
I've bought a whole duck and I want to cut it up for freezing. Here are online videos showing proper ways of cutting duck. www.youtube.com www.youtube.com www.youtube.com Just cut it into four skipper,neck,body,and butt.