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Linda has 10 liters of a juice mixture that is 40% juice. Which equation can be used to find how many...

Linda has 10 liters of a juice mixture that is 40% juice. Which equation can be used to find how many liters of pure juice, x, should be added to make a mixture that is 60% juice?
4/(10 + x) = 0.6
10/(4 + x) = 0.6
(4 + x)/(10 + x) = 0.6
(10 + x)/(4 + x) = 0.6
How many liters of pure juice should be added to make a mixture that is 60% juice?
_____ liters

Answer

  1. (4 + x)/(10 + x) = 0.6 (the third equation). The original mixture contains 10 × 0.40 = 4 liters of juice. Adding x liters of pure juice gives 4 + x liters of juice in 10 + x total liters.

  2. 4 + x = 0.6(10 + x), so 0.4x = 2 and x = 5. Add 5 liters of pure juice.

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