A and B are mixed in the ratio 1:4. If the total volume of the mixture is 100 liters, how many liters of liquid A are there?
Practice Questions
1 question
Q1
A and B are mixed in the ratio 1:4. If the total volume of the mixture is 100 liters, how many liters of liquid A are there?
20 liters
25 liters
30 liters
40 liters
Total parts = 1 + 4 = 5. Volume of A = (1/5) * 100 = 20 liters.
Questions & Step-by-step Solutions
1 item
Q
Q: A and B are mixed in the ratio 1:4. If the total volume of the mixture is 100 liters, how many liters of liquid A are there?
Solution: Total parts = 1 + 4 = 5. Volume of A = (1/5) * 100 = 20 liters.
Steps: 4
Step 1: Understand the ratio of A to B, which is 1:4. This means for every 1 part of A, there are 4 parts of B.
Step 2: Add the parts of A and B together. 1 part (A) + 4 parts (B) = 5 total parts.
Step 3: Find out how much one part is worth. Since the total volume of the mixture is 100 liters, divide 100 liters by the total parts (5). So, 100 / 5 = 20 liters per part.
Step 4: Since A is 1 part, multiply the volume of one part (20 liters) by the number of parts for A (1). So, 1 * 20 = 20 liters of A.