A 40-liter solution of alcohol and water is 5 percent alcohol.

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A - liter solution of alcohol and water is percent alcohol. If liters of alcohol and liters of water are added to this solution, what percent of the solution produced is alcohol?

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Calculated Answer

11

Step by Step Solution

In order to solve problem, you must evaluate (n₂ + n₀ * n₁ / 100) / (n₀ + n₂ + n₃) * 100.

• (n₂ + n₀ * n₁ / 100) / (n₀ + n₂ + n₃) * 100

• Evaluate n₁ / 100 = 0.05

  (n₂ + n₀ * 0.05) / (n₀ + n₂ + n₃) * 100

• Evaluate n₀ * 0.05 = 2

  (n₂ + 2) / (n₀ + n₂ + n₃) * 100

• Evaluate n₂ + 2 = 5.5

  5.5 / (n₀ + n₂ + n₃) * 100

• Evaluate n₂ + n₃ = 10

  5.5 / (n₀ + 10) * 100

• Evaluate n₀ + 10 = 50

  5.5 / 50 * 100

• Evaluate 5.5 / 50 = 0.11

  0.11 * 100

• Evaluate 0.11 * 100 = 11

  11
• The answer to the problem and the result of (n₂ + n₀ * n₁ / 100) / (n₀ + n₂ + n₃) * 100 is 11