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In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters
In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters of alcohol are in the mixture?
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Practice Questions
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Q1
In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters of alcohol are in the mixture?
36 liters
24 liters
30 liters
18 liters
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Total parts = 2 + 3 = 5. Alcohol's part = (3/5) * 60 = 36 liters.
Questions & Step-by-step Solutions
1 item
Q
Q: In a mixture of 60 liters, the ratio of water to alcohol is 2:3. How many liters of alcohol are in the mixture?
Solution:
Total parts = 2 + 3 = 5. Alcohol's part = (3/5) * 60 = 36 liters.
Steps: 8
Show Steps
Step 1: Understand the total mixture volume, which is 60 liters.
Step 2: Identify the ratio of water to alcohol, which is 2:3.
Step 3: Add the parts of the ratio together: 2 (water) + 3 (alcohol) = 5 parts total.
Step 4: Determine the part of the mixture that represents alcohol, which is 3 parts.
Step 5: Calculate the fraction of the mixture that is alcohol: 3 parts out of 5 total parts.
Step 6: Multiply the fraction of alcohol by the total volume: (3/5) * 60 liters.
Step 7: Perform the calculation: 3/5 of 60 liters equals 36 liters.
Step 8: Conclude that there are 36 liters of alcohol in the mixture.
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