A store mixes brazilian coffee worth $11 per kilogram and Turkish coffee worth $13 per kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to make a 360 kilogram mixture
quantity of Brazilian....x kg
quantity of Turkish....(360-x)kg
[($11/kg)(x kg)]+[($13/kg)(360-x)(kg)]=($12/kg)(360 kg)
The unit of kilograms is in the denominators and numerators of all facets of the equation. It cancels...
The unit of dollars is in the numerator of all facets of the equation. It cancels...
Now that all units are aligned, we may calculate...
Let's subtract 4680 from both sides...
Let's divide both sides by -2...
We need 180 kg of each type of coffee.