1. ## Blending Coffee

A coffee manufacturer wants to market a new blend of coffee that sells for 3 dollars and 90 cents per mixing two coffees that sell for 2 dollars and 75 cents and 5 dollars per pound, respectively. What amount of each coffee should be blended to obtain the desired mixture?

Hint given in textbook:

[Assume that the total weight of the desired blend is 100 pounds.]

My Work:

Let x = 2 dollars and 75 cents per pound

Let (100 - x) = pounds at 5 dollars per pound

My equation is the following:

x(2.75) + 5(100 - x) = 3.90(100)

Correct?

Correct.

3. ## Re: Blending Coffee

x(2.75) + 5(100 - x) = 3.90(100)

x(2.75) + 500 - 5x = 390

x(2.75) - 5x = 390 - 500

-2.25x = -1.10

x = -1.10/-2.25

x = 2.0454545455

Amount of coffee at 2.75 per pound:

2.75(2.0454545455) = 5.625

Amount of coffee at 5 dollars per pound:

100 - 2.0454545455 = 497.9545454545, which we can round off to two decimal numbers to get 497.95.

Is any of this right?

4. ## Re: Blending Coffee

Originally Posted by harpazo

x(2.75) - 5x = 390 - 500

-2.25x = -1.10
Should be -2.25x = -110 : go stand in the corner!

5. ## Re: Blending Coffee

-2.25x = -110

x = -110/-2.25

x = 48.8888888889

Amount of coffee at 2.75 per pound:

2.75(48.8888888889) = 134.4444444444, which can then be rounded to be 134.40.

Amount of coffee at 5 dollars per pound:

100 - 48.8888888889 = 51.1111111111, which can then be rounded to be 51.10.

Is any of this right?

Correct.

7. ## Re: Blending Coffee

Good to know I'm right.