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SEAMO 2027 - Paper E - SET 09 - Self-study Question 19

SEAMO · SEAMO 2027 - Paper E - SET 09 - Self-study

Question 19

Barrel $A$ initially contains 11 litres of alcohol and barrel $B$ contains 15 litres of water. Some alcohol is poured from $A$ to $B$, and then some mixture is poured back from $B$ to $A$. The final alcohol concentrations in $A,B$ are $62.5\%$ and $25\%$, respectively. How many litres were poured back from $B$ to $A$?

Use the standard mixture model: the initial alcohol is pure, each mixture is stirred uniformly before transferring, there is no loss, and liquid volumes add.
  1. $6$
  2. $6.2$
  3. $7$
  4. $7.3$
  5. None of the above