Multiple choice

There are two containers – A and B. A contains π‘₯ litres of pure orange juice only while B contains π‘₯ litres of pure water only. First, 𝑦 litres of orange juice is transferred from A to B. Then, 𝑦 litres of the mixture of orange juice and water is transferred from B to A. If the difference between the final concentrations of orange juice and water in A is 66β…” percentage points, then, which of the following gives the final concentration of orange juice in B?

  1. 20%

  2. 8β…“%

  3. 15%

  4. 16β…”%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial amounts be x. After transferring y from A to B, A has (x-y) juice, B has y juice and x water. After transferring y of the mixture (which has concentration y/(x+y) juice) back to A, the concentrations equalize. The math leads to the concentration of juice in B being 16 2/3%.

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