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A store mixes Kenyan coffee worth \$11 per kilogram and venezuelan coffee worth \$14 per kilogram. The mixture is to sell for \$12 per kilogram. Find how much of each should be used to make a 288-kilogra mixture.

the coffee should be 2/3 Kenyan and 1/3 Venezuelan
[(2X11) +(1X14)]=36  AND 12x3=36

2/3 x 288 = 192 kg Kenyan
1/3 x 288 = 96 kg Venezuelan
Let the amount of Kenyan coffee be "K" and the amount of Venezuelan coffee be "V." The K + V = 288, or
K = 288 - V.

The cost of the Kenyan coffee will be 11K and the cost of the Venezuelan coffee will be 14 V. The sum of these costs will be 12(288), or
11K + 14V = 12(288) and since K = 288 - V, then

11(288 - V) + 14V = 12(288)    and

3V = 288    or

V = 96 kg. and
K = 288 - V = 288 - 96 = 192 kg.
Hi Jhnaesha;
Kenyan value....\$11/kg
Kenyan weight...x kg
Venezuelan value...\$14/kg
Venezuelan weight...(288-x) kg
mixture value....\$12/kg
mixture weight...288 kg
(\$12/kg)(288 kg)=[(\$11/kg)(x kg)]+[(\$14/kg)((288-x)kg)]
The unit of kg is in the numerators and denominators of all facets of the equation.  It cancels...
(\$12/kg)(288 kg)=[(\$11/kg)(x kg)]+[(\$14/kg)((288-x)kg)]
(\$12)(288)=[(\$11)x]+[(\$14)(288-x)]
The unit of \$ is in the numerators of all facets of the equation.  It cancels...
(12)(288)=(11x)+[(14)(288-x)]
Now that the units are aligned, we may calculate...
3456=11x+4032-14x
3456=-3x+4032
Let's subtract 4032 from both sides...
3456-4032=-3x+4032-4032
-576=-3x
Let's divide both sides by -3...
-576/-3=(-3x)/-3
A negative number divided by a negative number has a positive result...
192=x

Kenyan weight...192 kilograms
Venezuelan weight...288-192=96 kilograms