Question: A mixture of 30 liters contains two liquids A and B in the ratio 1:2. How much of liquid A is there?
Options:
10 liters
15 liters
20 liters
5 liters
Correct Answer: 10 liters
Solution:
In a 1:2 ratio, total parts = 1 + 2 = 3. Liquid A = (1/3) * 30 = 10 liters.
A mixture of 30 liters contains two liquids A and B in the ratio 1:2. How much o
Practice Questions
Q1
A mixture of 30 liters contains two liquids A and B in the ratio 1:2. How much of liquid A is there?
10 liters
15 liters
20 liters
5 liters
Questions & Step-by-Step Solutions
A mixture of 30 liters contains two liquids A and B in the ratio 1:2. How much of liquid A is there?
Step 1: Understand the ratio of liquids A and B, which is 1:2.
Step 2: Add the parts of the ratio together: 1 (for A) + 2 (for B) = 3 parts total.
Step 3: Determine how much one part is worth by dividing the total volume (30 liters) by the total parts (3): 30 liters / 3 parts = 10 liters per part.
Step 4: Since liquid A is 1 part, multiply the value of one part (10 liters) by the number of parts for A (1): 10 liters * 1 = 10 liters of liquid A.
Ratios β Understanding how to interpret and calculate quantities based on given ratios.
Proportions β Applying the concept of proportions to find the part of a whole based on a ratio.
Basic Arithmetic β Performing basic calculations involving multiplication and division.
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