Lou wants to make a coffee mixture to sell. he is going to mix sumatra coffee which costs $2.50/lb with colombian coffee which costs $3.75/lb. he wants to make 50 pounds of mix to sell for $3.35/lb. how many pounds of each will he need

Let x be the amount, in pounds, of the sumatra coffee. With this representation, the amount of Colombian coffee may be represented as 50-x. The equation that would allow us to solve for the value of x is the price balance of the given coffees.

    2.5x + (3.75)(50 - x) = (50)(3.35)

The value of x from the equation is 16.

Therefore, he needs 16 lbs of sumatra coffee and 34 lbs of Colombian coffee.