In a mixture of coffee and cream, there exists only 13% of cream. After substituting the mixture with 5 litres of refined coffee, the percentage of coffee in the mixture becomes 89%. The quantity of mixture is

The initial mixture has 13 percent cream, meaning it has 87 percent coffee. Let the total initial quantity of the mixture be Y; adding 5 litres of refined coffee makes the new amount of coffee equal to 0.87Y + 5. The new total volume is Y + 5, and the new coffee percentage is 89 percent, so the equation is (0.87Y + 5) / (Y + 5) = 0.89. Solving this yields 0.87Y + 5 = 0.89Y + 4.45, which simplifies to 0.02Y = 0.55, giving a total initial mixture quantity of 32.5 litres.

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