Milo wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 20% lemon juice and 80% lime juice to make 4 gallons of the 50% lemon/50% lime juice mixture?

Question

Mathematics

Sloane Evans

22 July, 10:44

Milo wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 20% lemon juice and 80% lime juice to make 4 gallons of the 50% lemon/50% lime juice mixture?

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Answers (1)

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Jaron Walker · Answer 1

To answer the question, let x be the amount of 100% lemon juice. In order to make 4 gallons of mixture, Milo needs 4 - x gallons of prepared mixture. Using lemon juice balance.

(x) (1) + (4 - x) (0.20) = 4 (0.5)

The value of x is equal to 1.5 gallons.

Therefore, Milo needs 1.5 gallons of lemon juice.