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A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 lit
A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 liters, how much of liquid B is present?
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A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 liters, how much of liquid B is present?
40 liters
50 liters
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Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.
Questions & Step-by-step Solutions
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Q
Q: A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 liters, how much of liquid B is present?
Solution:
Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.
Steps: 6
Show Steps
Step 1: Understand the ratio of A to B, which is 4:5.
Step 2: Add the parts of the ratio together: 4 (for A) + 5 (for B) = 9 parts total.
Step 3: Determine the fraction of the total mixture that is liquid B. Since B has 5 parts, the fraction is 5/9.
Step 4: Calculate the volume of liquid B by multiplying the fraction of B (5/9) by the total volume of the mixture (90 liters).
Step 5: Perform the calculation: (5/9) * 90 = 50 liters.
Step 6: Conclude that there are 50 liters of liquid B in the mixture.
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