A chemist has two solutions, one containing 20% of acid and the other containing 40% acid. In what ratio should these solutions be mixed to get a 30% acid solution? Options 2:3 1:2 1:1 2:1
Question
A chemist has two solutions, one containing 20% of acid and the other containing 40% acid. In what ratio should these solutions be mixed to get a 30% acid solution? Options
2:3
1:2
1:1
2:1
Solution
This problem can be solved using the method of alligation, which is a rule that allows us to find the ratio in which two or more ingredients at given prices must be mixed to produce a mixture of a desired price.
Here are the steps:
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Write down the percentage of acid in the lower concentration solution, the higher concentration solution, and the desired concentration. In this case, they are 20%, 40%, and 30% respectively.
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Draw a line from the desired concentration to the lower and higher concentrations.
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Calculate the differences between the desired concentration and the lower and higher concentrations. The difference between 30% and 20% is 10, and the difference between 40% and 30% is 10.
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These differences represent the ratio in which the two solutions should be mixed. So, the two solutions should be mixed in a 1:1 ratio to get a 30% acid solution.
So, the correct answer is 1:1.
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