A coffee distributor needs to mix a(n) Tanzanian coffee blend that normally sells for $8.40 per pound with a Queen City coffee blend that normally sells for $13.50 per pound to create 80 pounds of a coffee that can sell for $9.93 per pound. How many pounds of each kind of coffee should they mix?

Question

A coffee distributor needs to mix a(n) Tanzanian coffee blend that normally sells for $8.40 per pound with a Queen City coffee blend that normally sells for $13.50 per pound to create 80 pounds of a coffee that can sell for $9.93 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 x as your variable to represent the quantity of Tanzanian coffee blend.
What is the Equation: 
  
B) Answer: They must mix pounds of the Tanzanian Blend pounds of the Queen City Blend. Round your answers to the nearest whole number of pounds.

oobleck · Answer

If there are x lbs of Tanzanian, then the rest (80-x) are Queen. Now just add up the values of the parts to equal the value of the total. 8.40x + 13.50(80-x) = 9.93*80