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2 Answers

Hi Mishorita;
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...
$11x+$13(360-x)=$12(360)
The unit of dollars is in the numerator of all facets of the equation.  It cancels...
11x+13(360-x)=12(360)
Now that all units are aligned, we may calculate...
11x+4680-13x=4320
4680-2x=4320
Let's subtract 4680 from both sides...
4680-4680-2x=4320-4680
-2x=-360
Let's divide both sides by -2...
(-2x)/-2=-360/-2
x=180
(360-x)=180
We need 180 kg of each type of coffee.
 

Comments

Let x= the fraction of the cheap coffee and y be the fraction of the expensive stuff then x+y =1 so y=1-x and 
 
11x+13(1-x)= 12 want the cost of the mixture to be $12/kg
 
11x-13x+13=12
 
-2x=12-13=-1
 
x=1/2  and y=1/2 so you would need 180kg of each
 
Regards
Jim

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