SOLUTION: The manager of a coffee shop has one type of coffee that sells for $7 per pound and another type that sells for $13 per pound. The manager wishes to mix 70 pounds of the $13 cof

Question 964126: The manager of a coffee shop has one type of coffee that sells for $7 per pound and another type that sells for $13 per pound.
The manager wishes to mix 70 pounds of the $13 coffee to get a mixture that will sell for $8 per pound.
How many pounds of the $7 coffee should be used?

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
S=amount of $7/lb coffee to add.
$13(70lbs)+$7(S)=$8(S+70lbs)
$910lbs+$7S=$8S+$560lbs Subtract $7s+$560lbs from each side.
$350lbs=$1SDivide by $1
350lbs=S She should add 350 lbs of the $7/lb coffee.
CHECK:
$13(70)+$7(350)=$8(420)
$910+$2450=$3360
$3360=$3360

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