SOLUTION: 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 li

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Question 1167558: 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.
Answer by ikleyn(52776) About Me  (Show Source):
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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.
~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let x be the number of liters of drink A.
Let y be the number of liters of drink B.


Then the system of 2 linear equations in 2 unknowns is

        x +    y = 280  liters  total            (1)

    0.25x + 0.2y =  61  liters  of real juice    (2)


You may solve it by the Elimination method, for example.

Solved.