SOLUTION: A fruit juice company mixes pineapple juice that sells for $5.50 per gallon with 100 gallons of orange juice that sells for $3.00 per gallon. How much pineapple juice is used to ma

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Question 337083: A fruit juice company mixes pineapple juice that sells for $5.50 per gallon with 100 gallons of orange juice that sells for $3.00 per gallon. How much pineapple juice is used to make a pineapple orange juice drink selling for $3.50 per gallon? Thank you
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
P = pineapple juice @ $5.50/gal
O = orange juice @ $3.00/gal
T = target @ $3.50/gal
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the ratio of P & O needed will be in inverse proportion to distance from T
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P:O = (3.50 - 3.00) : (5.50 - 3.50) = 0.50:2 = 25:100
ans:
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25 gal of pineapple juice
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the conventional method is always there !
suppose x gal of pineapple juice, then
5.5x + 3*100 = 3.5*125
5.5x = 437.5 - 300 = 137.5
x = 137.5 /5.5
= 25 gal
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but surely more complex !