Problem 10 (Orange Juice Problem)

You have four orange juice drinks of different concentrations of orange juice to water. Suppose the respective concentrations are A₁, A₂, A₃, and A₄ gal orange juice/gal water, and that you get a concentration of

• 15 gal orange juice/gal water if you mix 3 gallons of the first drink, 2 gal of the second drink, and 1 gal of the third drink.

• 10 gal orange juice/gal water if you mix 1 gallon of each of the four drinks

• 10 gal orange juice/gal water if you mix 1 gallon of the first drink and 1 gallon of the third drink

What is the concentration of orange juice if you add 2 gal of the first drink and 1 gal of the 4th drink ?

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Last modified on Monday, February 08, 1999