Problema Solution
One pound of black coffee beans costs $5.00 and one pound of black coffee beans costs $13.00. A mixture of black and brown beans costs $10.00 per pound. How many pounds of black and brown beans are in a mixture of 50 pounds?
Answer provided by our tutors
let
x = pounds of black coffee beans costs $5.00
y = pounds of brown coffee beans costs $13.00
we make a mixture of 50 pounds
x + y = 50
mixture of black and brown beans costs $10.00 per pound
5*x + 13*y = 10*50
by solving the system of equations
x + y = 50
5*x + 13*y = 10*50
we find
x = 18.75 pounds
y = 31.35 pounds
the mixture is made of 18.75 pounds black coffee beans and 31.35 pounds brown coffee beans.