In a mixture of 100 liters, the ratio of oil to water is 1:4. How much oil is in

Practice Questions

Q1
In a mixture of 100 liters, the ratio of oil to water is 1:4. How much oil is in the mixture?
  1. 10 liters
  2. 15 liters
  3. 20 liters
  4. 25 liters

Questions & Step-by-Step Solutions

In a mixture of 100 liters, the ratio of oil to water is 1:4. How much oil is in the mixture?
  • Step 1: Understand the ratio of oil to water, which is 1:4. This means for every 1 part of oil, there are 4 parts of water.
  • Step 2: Let the amount of oil be represented by 'x' liters.
  • Step 3: Since the ratio is 1:4, the amount of water will be 4 times the amount of oil, which is 4x liters.
  • Step 4: The total mixture is 100 liters, so we can write the equation: x (oil) + 4x (water) = 100 liters.
  • Step 5: Combine the terms in the equation: 1x + 4x = 5x. So, we have 5x = 100 liters.
  • Step 6: To find the value of x (the amount of oil), divide both sides of the equation by 5: x = 100 / 5.
  • Step 7: Calculate the value: x = 20 liters. This means there are 20 liters of oil in the mixture.
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