Answer:
They must mix
_44_ pounds of the Organic Free Trade Blend
_36__ pounds of the Rift Valley Blend.
Round your answers to the nearest whole number of pounds.
Step-by-step explanation:
The formula you are using is:
Total price * total amount= Organic price * amount organic + Rift price * amount rift
First we will simplify it by calculating it for each pound of final mix.
So this is 10.82 * 1 = 8.30 * x + 13.90 * y.
Since the total amount should be 1 pound, you could say that x+y = 1, or that y = 1-x.
If you fill this in you get
10.82 * 1 = 8.30 * x + 13.90 * (1-x)
Which you can solve as follows.
10.82 * 1 = 8.30 * x + 13.90 - 13.90x
10.82 = 13.90 - 5.6x
-5.6x = -3.08
x = -3.08/-5.6 = 0.55
So you will need 0.55 of Organic coffee for each pound of the final mix.
So in total you will need 0.55 * 80 = 44 pounds of Organic coffee.
So you need 80 - 44 = 36 pounds of Rift Valley Coffee.
