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In a mixture of two liquids, if the first liquid is 25% alcohol and the second i

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Question: In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol in a 10-liter mixture containing 4 liters of the first liquid?

Options:

  1. 45%
  2. 50%
  3. 55%
  4. 60%

Correct Answer: 45%

Solution: 

Alcohol from first liquid = 25% of 4 liters = 1 liter. From second liquid = 75% of 6 liters = 4.5 liters. Total alcohol = 1 + 4.5 = 5.5 liters. Percentage = (5.5/10) * 100 = 55%.

In a mixture of two liquids, if the first liquid is 25% alcohol and the second i

Practice Questions

Q1
In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol in a 10-liter mixture containing 4 liters of the first liquid?
  1. 45%
  2. 50%
  3. 55%
  4. 60%

Questions & Step-by-Step Solutions

In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol in a 10-liter mixture containing 4 liters of the first liquid?
  • Step 1: Identify the volumes of the two liquids in the mixture. We have 4 liters of the first liquid and the total mixture is 10 liters, so the second liquid is 10 - 4 = 6 liters.
  • Step 2: Calculate the amount of alcohol in the first liquid. The first liquid is 25% alcohol, so we calculate 25% of 4 liters: 0.25 * 4 = 1 liter of alcohol.
  • Step 3: Calculate the amount of alcohol in the second liquid. The second liquid is 75% alcohol, so we calculate 75% of 6 liters: 0.75 * 6 = 4.5 liters of alcohol.
  • Step 4: Add the amounts of alcohol from both liquids to find the total alcohol in the mixture: 1 liter (from the first liquid) + 4.5 liters (from the second liquid) = 5.5 liters of alcohol.
  • Step 5: Calculate the overall percentage of alcohol in the mixture. The total volume of the mixture is 10 liters, so we calculate the percentage: (5.5 liters of alcohol / 10 liters of mixture) * 100 = 55%.
  • Mixture and Concentration – Understanding how to calculate the concentration of a mixture based on the volumes and concentrations of its components.
  • Percentage Calculation – Calculating the overall percentage of a substance in a mixture by using the total volume and the amount of the substance.
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