Application Problems

Question

A coffee distributor needs to mix a(n) Breakfast coffee blend that normally sells for $8.40 per pound with a Gualtemala Antigua coffee blend that normally sells for $12.10 per pound to create 40 pounds of a coffee that can sell for $10.44 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 N as your variable to represent the quantity of Breakfast coffee blend.

Equation:   

B) Answer: They must mix

 pounds of the Breakfast Blend

 pounds of the Gualtemala Antigua Blend.

Round your answers to the nearest whole number of pounds.

Answer 1

8.4N + 12.1(40-N) = 40(10.4)

8.4N -12.1N = 40(10.4) - 40(12.1

-3.7N = -1.7(40)

N = 1.7(40)/3.7 = about 18.38 lbs of $8.40

plus

21.62 lbs of $12.10

mixed together

yield 40 lbs of $10.40

8.4(18.38)+ 12.1(21.62)

= 154.39 + 261.60

= 415.99

10.4(40) = 416 = about 415.99 with rounding error