SOLUTION: A grapefruit beverage that is 45% concentrated juice is mixed with an orange beverage that is 75% concentrated juice to produce a blend that is 55% concentrated juice. How many ga

Question 55610: A grapefruit beverage that is 45% concentrated juice is mixed with an orange beverage that is 75% concentrated juice to produce a blend that is 55% concentrated juice. How many gallons of each must be mixed to produce 200 gallons of the blend?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A grapefruit beverage that is 45% concentrated juice is mixed with an orange beverage that is 75% concentrated juice to produce a blend that is 55% concentrated juice. How many gallons of each must be mixed to produce 200 gallons of the blend?
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Let amount of grapefruit bev. be "x"; amount of juice is 0.45x gallons
Amount of orange bev. is "200-x"; amount of juice is 0.75(200-x)=150-.75x
Amount of mix is 200 gallons; amount of juice is 0.55(200)=110 gallons
EQUATION:
0.45x+150-0.75x=110
-0.30x=-40
x=133 1/3 gallons of grapefruit juice
200-x= 66 2/3 gallons of orange juice
Cheers,
Stan H.
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