SOLUTION: greg is supposed to add cranberry juice to apple juice to make 20 gallons of cranapple juice. A gallon of apple juice sells for $3.25 a gallon and a gallon of cranberry juice sell

Question 311038: greg is supposed to add cranberry juice to apple juice to make 20 gallons of cranapple juice. A gallon of apple juice sells for $3.25 a gallon and a gallon of cranberry juice sells for $4.15. A gallon of cranapple juice sells for $3.43. How many gallons of each juice should he use in the mixture
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
greg is supposed to add cranberry juice to apple juice to make 20 gallons of cranapple juice. A gallon of apple juice sells for $3.25 a gallon and a gallon of cranberry juice sells for $4.15. A gallon of cranapple juice sells for $3.43. How many gallons of each juice should he use in the mixture
.
Let x = gallons of apple juice
then
20-x = gallons of cranberry juice
.
3.25x + 4.15(20-x) = 3.43(20)
3.25x + 83 - 4.15x = 68.6
83 - .9x = 68.6
-.9x = -14.4
x = 16 gallons (apple juice)
.
cranberry juice:
20-x = 20-16 = 4 gallons

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