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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

### 2 Answers by Expert Tutors

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
1
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.

Thank you!
Jim S. | Physics (and math) are fun, reallyPhysics (and math) are fun, really
4.7 4.7 (185 lesson ratings) (185)
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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