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:
4:1
5:1
1:4
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?
4:1
5:1
1:4
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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