Problema Solution

For the following​ problem, complete the table to the right. Then solve the problem using a system of equations.

A person wishes to mix coffee worth ​$18

per lb with coffee worth ​$6

per lb to get 60

lb of a mixture worth ​$10

per lb. How many pounds of the ​$18

and the ​$6

coffees will be​ needed?

Answer provided by our tutors

Let

x = lbs of the $18 per lb coffee

y = lbs of the $6 per lb coffee

x + y = 60

18x + 6y = 10*60

........

click here to see the system of equations solved for x and y

........

x = 20 lbs

y = 40 lbs

20 lbs of the $18 per lb and 40 lbs of the $6 per lb coffee will be needed.