48 liters of a mixture has 75% alcohol. How much water must be added to it to get 60% alcohol concentration ? (in liters)Options :1215168
Question
48 liters of a mixture has 75% alcohol.
How much water must be added to it to get 60% alcohol concentration ? (in liters)
Options :
- 12
- 15
- 16
- 8
Solution
To solve this problem, we first need to determine the amount of alcohol in the original mixture.
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Calculate the amount of alcohol in the original mixture: 48 liters * 75% = 36 liters of alcohol
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Then, we need to find out how much total mixture we would need if we want the alcohol to be 60% of the total mixture. We can set up the following equation to solve for this: 36 liters (amount of alcohol) = 60% * total mixture
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Solve the equation for the total mixture: total mixture = 36 liters / 60% = 60 liters
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Finally, subtract the original amount of mixture from the total amount of mixture needed to find out how much water needs to be added: 60 liters - 48 liters = 12 liters
So, 12 liters of water must be added to the mixture to get a 60% alcohol concentration. The correct option is 1.
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