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If 20% of a mixture is water and the rest is alcohol, what is the ratio of alcoh

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Question: If 20% of a mixture is water and the rest is alcohol, what is the ratio of alcohol to water in the mixture?

Options:

  1. 4:1
  2. 5:1
  3. 1:4
  4. 1:5

Correct Answer: 5:1

Solution:

Water = 20%, Alcohol = 80%. Ratio = 80:20 = 4:1.

If 20% of a mixture is water and the rest is alcohol, what is the ratio of alcoh

Practice Questions

Q1
If 20% of a mixture is water and the rest is alcohol, what is the ratio of alcohol to water in the mixture?
  1. 4:1
  2. 5:1
  3. 1:4
  4. 1:5

Questions & Step-by-Step Solutions

If 20% of a mixture is water and the rest is alcohol, what is the ratio of alcohol to water in the mixture?
  • Step 1: Understand that the mixture is made up of two components: water and alcohol.
  • Step 2: Note that 20% of the mixture is water.
  • Step 3: Calculate the percentage of alcohol in the mixture. Since the total must equal 100%, subtract the percentage of water from 100%. So, 100% - 20% = 80%.
  • Step 4: Now you know that 80% of the mixture is alcohol.
  • Step 5: To find the ratio of alcohol to water, write it as alcohol:water. This is 80%:20%.
  • Step 6: Simplify the ratio. Divide both parts of the ratio by 20. So, 80 ÷ 20 = 4 and 20 ÷ 20 = 1.
  • Step 7: The simplified ratio of alcohol to water is 4:1.
  • Percentage to Ratio Conversion – Understanding how to convert percentages into a ratio format.
  • Basic Ratio Simplification – Simplifying ratios to their lowest terms.
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