# Algebra

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 25% real fruit juice and Drink B contains 20% real fruit juice. Company made 280 liters of fruity drinks with 61 liters of real fruit juice. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

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1. A = liters of drink A , B = liters of drink B

A + B = 280

.25 A + .20 B = 61 ... multiplying by 4 ... A + .8 B = 244

subtracting equations (to eliminate A) ... .2 B = 36

solve for B , then substitute back to find A

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2. A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 25% real fruit juice and Drink B contains 20% real fruit juice. Company made 280 liters of fruity drinks with 61 liters of real fruit juice. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

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