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Two equal glasses filled with mixture of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into a third glass. What is the proportion of alcohol and water in the third glass? 
  • a)
    5 : 7 
  • b)
    7 : 5 
  • c)
    3 : 5 
  • d)
    5 : 3 
Correct answer is option 'B'. Can you explain this answer?
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Two equal glasses filled with mixture of alcohol and water in the prop...
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Solution:

Let the quantity of mixture in the first glass be 2x and in the second glass be x.

Therefore, the quantity of alcohol in the first glass = (2/3)×2x = (4/3)x

The quantity of water in the first glass = (1/3)×2x = (2/3)x

The quantity of alcohol in the second glass = (1/2)×x = (1/2)x

The quantity of water in the second glass = (1/2)×x = (1/2)x

When both the glasses are emptied into a third glass, the quantity of alcohol in the third glass = (4/3)x + (1/2)x = (11/6)x

The quantity of water in the third glass = (2/3)x + (1/2)x = (7/6)x

Therefore, the proportion of alcohol and water in the third glass = (11/6)x : (7/6)x = 11 : 7

Hence, the correct option is (B) 7 : 5.
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Two equal glasses filled with mixture of alcohol and water in the prop...
B) 7:5
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Two equal glasses filled with mixture of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into a third glass. What is the proportion of alcohol and water in the third glass?a)5 : 7b)7 : 5c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer?
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Two equal glasses filled with mixture of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into a third glass. What is the proportion of alcohol and water in the third glass?a)5 : 7b)7 : 5c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about Two equal glasses filled with mixture of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into a third glass. What is the proportion of alcohol and water in the third glass?a)5 : 7b)7 : 5c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two equal glasses filled with mixture of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into a third glass. What is the proportion of alcohol and water in the third glass?a)5 : 7b)7 : 5c)3 : 5d)5 : 3Correct answer is option 'B'. Can you explain this answer?.
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