# SOLUTION: A coffee seller has one grade of coffee selling for \$4 per pound and another for \$6.50 per pound. He mixes the coffee to sell at \$4.75 per pound and mixes 150 pounds. How much of e

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A coffee seller has one grade of coffee selling for \$4 per pound and another for \$6.50 per pound. He mixes the coffee to sell at \$4.75 per pound and mixes 150 pounds. How much of e      Log On

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 Click here to see ALL problems on Mixture Word Problems Question 12787: A coffee seller has one grade of coffee selling for \$4 per pound and another for \$6.50 per pound. He mixes the coffee to sell at \$4.75 per pound and mixes 150 pounds. How much of each type does he use? How do you do this?Answer by LilSkittleMd(119)   (Show Source): You can put this solution on YOUR website!Let x=coffee-\$4 per pound Let y=coffee-\$6.50 per pound Set up the two equations x+y=150 4x+6.50y=712.5 Use substitution method to solve. x=150-y 4(150-y)+6.50y=712.5 600-4y+6.5y=712.5 Combine like terms 600+2.5y=712.5 2.5y=112.5 y=45 Now substitute y into one of the original equations x+45=150 x=105 105 pounds of the \$4 per pound coffee was used 45 pounds of the \$6.50 per pound coffee was used