A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 liters, how many liters of liquid B are there?
Practice Questions
1 question
Q1
A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 liters, how many liters of liquid B are there?
40 liters
50 liters
45 liters
30 liters
Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.
Questions & Step-by-step Solutions
1 item
Q
Q: A and B are mixed in the ratio 4:5. If the total volume of the mixture is 90 liters, how many liters of liquid B are there?
Solution: Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.
Steps: 5
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 how much one part is worth by dividing the total volume by the total parts: 90 liters / 9 parts = 10 liters per part.
Step 4: Find the volume of liquid B by multiplying the number of parts for B (which is 5) by the volume of one part: 5 parts * 10 liters/part = 50 liters.
Step 5: Conclude that there are 50 liters of liquid B in the mixture.
