SOLUTION: Lou wants to make a coffee mixture to sell. He is going to mix Sumatra coffee which cost $2.50 per pound with Columbian coffee which costs $3.75 per pound. He wants to make 50 poun

Question 447594: Lou wants to make a coffee mixture to sell. He is going to mix Sumatra coffee which cost $2.50 per pound with Columbian coffee which costs $3.75 per pound. He wants to make 50 pounds of mix and he wants the cost of the mix to be $3.35 per pound. How many pound of each will he need?
Answer by katealdridge(100) (Show Source): You can put this solution on YOUR website!
pounds of sumatra + pounds of colombian
Price of sumatra * pounds of sumatra + price of colombian * pounds of colombian = price of mixture * total pounds
Take first equation and solve for either letter-I'll choose S.

Substitute 50-C in for S in the second equation
distribute the 2.50
combine like terms
subtract 125 from both sides
divide by 1.25
So 34 pounds of colombian coffee, leaving 16 pounds of sumatra coffee.
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