Problema Solution

A vat contains 70 gallons of a fruit juice mixture that is 40% orange juice. How many gallons of the mixture should be drained and replaced with pure orange juice to make the mixture 80% orange juice?

Answer provided by our tutors

Let 'x' represent the gallons of the mixture that should be drained and replaced with 100% orange juice.

0.40*(70 - x) + 1.00*x = 0.80*70

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click here to see the equation solved for x

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x = 46.67 gal

46.67 gallons of the mixture should be drained and replaced with pure orange juice.