SOLUTION: You have 6 liters of pineapple juice blend that is 50% pineapple juice. How many liters of pineapple juice need to be added to make blend that is 75% pineapple juice?

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Question 1120241: You have 6 liters of pineapple juice blend that is 50% pineapple juice. How many liters of pineapple juice need to be added to make blend that is 75% pineapple juice?


Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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In 6 liters of the 50% juice you have exactly 3 liters of the pure juice.


You add "x" liters of the pure juice to it.


Then you have  (3+x) liters of the pure juice in the mixture, and the total volume of the new mixture is  (6+x).


You want


    %283%2Bx%29%2F%286%2Bx%29 = 3%2F4.        ( <<<---===  3%2F4 = 0.75 = 75% )


Simplify and solve for x:


     4*(3+x) = 3*(6+x)

     12 + 4x = 18 + 3x

     4x - 3x = 18 - 12

     x = 6.


Answer.  You need to add 6 liters of the pure pineapple juice.


Check.   After adding, you will have 3 + 6 = 9 liters of the pure juice and the total volume of  6 + 6 = 12 liters,

         which gives you the concentration of the new blend of  9%2F12 = 3%2F4, exactly what you want / (what you need).