SOLUTION: A store mixes Kenyan coffee worth ​$10 per kilogram and Venezuelan coffee worth $13 per kilogram. The mixture is to sell for ​$12 per kilogram. Find how much of each sh
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-> SOLUTION: A store mixes Kenyan coffee worth ​$10 per kilogram and Venezuelan coffee worth $13 per kilogram. The mixture is to sell for ​$12 per kilogram. Find how much of each sh
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Question 1099445: A store mixes Kenyan coffee worth $10 per kilogram and Venezuelan 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 192-kilogram mixture. Answer by ikleyn(52781) (Show Source):
Let "x" be the amount (in kilograms) of Kenyan coffee to mix.
Then the amount of the Venezuelan coffee is (192-x) kilograms.
The "price" equation is
= 12. (1)
Why is it the "price" equation ?
Because the numerator is the cost (in dollars) of combined 192 kilograms.
Divided by 192, it is the price per kilogram.
It is your basic equation. As soon as you got it, the setup is completed.
To solve the equation (1), multiply both sides by 192. You will get
10x + 13*192 - 13x = 12*192,
-3x = 12*192 - 13*192 = -192 ====> x = = 64.
Answer. 64 kilograms of the Kenyan coffee must be mixed with 192-64 = 128 kilograms of the Venezuelan coffee.
