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If 60% of a mixture is liquid X and the rest is liquid Y, what is the ratio of l
Practice Questions
Q1
If 60% of a mixture is liquid X and the rest is liquid Y, what is the ratio of liquid Y to liquid X?
1:2
2:3
3:2
1:3
Questions & Step-by-Step Solutions
If 60% of a mixture is liquid X and the rest is liquid Y, what is the ratio of liquid Y to liquid X?
Steps
Concepts
Step 1: Understand that the mixture is made up of two liquids, X and Y.
Step 2: Note that 60% of the mixture is liquid X.
Step 3: Calculate the percentage of liquid Y by subtracting the percentage of liquid X from 100%. So, 100% - 60% = 40%.
Step 4: Now, we know that 40% of the mixture is liquid Y.
Step 5: To find the ratio of liquid Y to liquid X, we write it as Y:X, which is 40:60.
Step 6: Simplify the ratio 40:60 by dividing both numbers by their greatest common divisor, which is 20. So, 40 ÷ 20 = 2 and 60 ÷ 20 = 3.
Step 7: The simplified ratio of liquid Y to liquid X is 2:3.
Percentage to Ratio Conversion
– Understanding how to convert percentages into a ratio format.
Basic Ratio Simplification
– Simplifying ratios to their lowest terms.
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