Algebra Question

Question

A distributor needs to blend a mix of Tanzanian coffee that normally sells for $8.20 per pound with a Kenya coffee that normally sells for $13.60 per pound to create 10 pounds of a coffee that can sell for $8.74 per pound. How many pounds of each kind of coffee should they mix?A) Write an equation using the information as it is given above that can be solved to answer the question.Use     as your variable to represent the quantity of Tanzanian coffee.Equation:   B) (Round your answers to the nearest whole number of pounds.)Answer: They must mix pounds of the Tanzanian coffee. pounds of the Kenya coffee.

Answer 1

8.2x + 13.6y = 8.74(10) = 87.4

8.2x + 13.6(10-x) = 87.4

8.2x +136 - 13.6x = 87.4

5.4x = 136-87.4 = 48.6

x = 48.6/5.4 = 9 pounds of Tanzanian

mixed with 1 pound of Kenyan

yields 10 pounds of a mixture

8.2(9) + 13.6(1) = 73.8+13.6 = 87.4

8.2 is within .54 of 8.74

13.6 is within 4.86 of 8.74

4.86/.54 = 9

9/1 = 9