SOLUTION: You have 6 liters of pineapple juice blend that is 50% pineapple juice. If x is the amount of pineapple juice to be added, how many liters of pineapple juice needs to be added to

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: You have 6 liters of pineapple juice blend that is 50% pineapple juice. If x is the amount of pineapple juice to be added, how many liters of pineapple juice needs to be added to       Log On


   

Question 1165981: You have 6 liters of pineapple juice blend that is 50% pineapple juice. If x is the amount of pineapple juice to be added, how many liters of pineapple juice needs to be added to make a juice blend that is 75% pineapple juice?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
6 liters of 50% pineapple juice
x liters of 100% pineapple juice
x+6 liters of resulting 75% pineapple juice

You will recognize that the 75% concentration is exactly in the middle of the two materials, so you want 6 liters of the 50% and 6 liters of the 100%.
x is 6.

You can have algebra for that if you want.

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highlight_green%280.5%2A6%2B1.0x=0.75%28x%2B6%29%29
0.5%2A6%2Bx=0.75x%2B0.75%2A6
x-0.75x=0.75%2A6-0.5%2A6
x%281-0.75%29=6%280.75-0.5%29
x=6%28%280.75-0.5%29%2F%281-0.75%29%29
x=6%280.25%2F0.25%29
highlight%28x=6%29