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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
S%2BC=50 pounds of sumatra + pounds of colombian
2.50S%2B3.75C=3.35%2850%29 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.
S=50-C
Substitute 50-C in for S in the second equation
2.50%2850-C%29%2B3.75C=167.5 distribute the 2.50
125-2.50C%2B3.75C=167.5 combine like terms
125%2B1.25C=167.5 subtract 125 from both sides
1.25C=42.5 divide by 1.25
C=34 So 34 pounds of colombian coffee, leaving 16 pounds of sumatra coffee.