A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 lit

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Question: 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?

Options:

Correct Answer: 50 liters

Solution:

Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.

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?

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?

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.

Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
Basic Arithmetic – Performing calculations involving addition, multiplication, and division.