Problema Solution

A store mixes Kenyan coffee

worth ​$12

per kilogram and Venezuelan coffee

worth $ 16

per kilogram. The mixture is to sell for ​$15

per kilogram. Find how much of each should be used to make a 600

​-kilogram

mixture.

Answer provided by our tutors

Let

k = kg of the Kenyan coffee
v = kg of the Venezuelan coffee

The mixture is 600 kg

k + v = 600

The mixture is to sell for $12 per kilogram

12k + 16v = 15*600

We have the following system of equations:

k + v = 600
12k + 16v = 15*600

........

click here to see the system of equations solved for k and v

........

k = 150 kg

v = 450 kg

150 kg of Kenyan coffee and 450 kg of Venezuelan coffee should be used to make the 600 kg mixture.