Question 1201904
Light roast coffee beans cost seven dollars/pound, while dark roast cost $5.50 per pound. How much of each type of coffee is needed to create 4.50 pounds of a mixture that cost $6.75 per pound?


Light roast coffee beans cost seven dollars/pound  let this be x lbs
 dark roast cost $5.50 per pound  ....(4.5-x)lbs

4.50 pounds of a mixture that cost $6.75 per pound?
 

Cost equation

7x+5.5(4.5-x) = 4.5*6.75 (mixture cost)

7x+24.75-5.5x=30.375
1.5x =5.625

x=3.75 lbs Light roast coffee beans
dark roast coffee beans= balance = 0.75 lbs



7.3.75+0.75*5.5 30.375 $