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Solution A and solution B are 2 solutions of orange such that the concentration of orange juice is 64% in solution A and the concentration of water is 20% in solution B. Solution A and B are mixed in a ratio x:y such they form a 20 liter solution which has 6 litres of water. What is the value of 3x+2y if it is known that x and y are co-prime?

- a)5
- b)9
- c)19
- d)21

Correct answer is option 'D'. Can you explain this answer?

Target Study Academy
Dec 25, 2021 |

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Solution A and solution B are 2 solutions of orange such that the concentration of orange juice is 64% in solution A and the concentration of water is 20% in solution B. Solution A and B are mixed in a ratio x:y such they form a 20 liter solution which has 6 litres of water. What is the value of 3x+2y if it is known that xand yare co-prime?a)5b)9c)19d)21Correct answer is option 'D'. Can you explain this answer?

The concentration of orange juice in solution A = 64%

The concentration of orange juice in solution B = 100-20 = 80%

The resultant solution obtained by mixing is of volume 20L out of which 6 L is water.

Quantity of orange juice = 20L - 6L =14L

Concentration of orange = 14/20 × 100% = 70%

As per question 0.64x + 0.8y = 0.7(x+y)

0.1y = 0.06x

x/y = 0.1/0.06 = 35

x = 5 and y = 3

3x + 2y = 3(5) + 2(3) = 15 + 6 = 21

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Maram Yashaswini
Sep 05, 2022 |

Orange percentages :A : 64%B : 80% ( water % is given in question )Mixture : 70% ( from question 6L in 20L means 30% water ) Now A. B. 64. 80 70. 10. 6. = 10:6 = 5:3 ; x=5,Y=3 substitute in equation. Will get 21.

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Solution A and solution B are 2 solutions of orange such that the concentration of orange juice is 64% in solution A and the concentration of water is 20% in solution B. Solution A and B are mixed in a ratio x:y such they form a 20 liter solution which has 6 litres of water. What is the value of 3x+2y if it is known that xand yare co-prime?a)5b)9c)19d)21Correct answer is option 'D'. Can you explain this answer? for CAT 2022 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Solution A and solution B are 2 solutions of orange such that the concentration of orange juice is 64% in solution A and the concentration of water is 20% in solution B. Solution A and B are mixed in a ratio x:y such they form a 20 liter solution which has 6 litres of water. What is the value of 3x+2y if it is known that xand yare co-prime?a)5b)9c)19d)21Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution A and solution B are 2 solutions of orange such that the concentration of orange juice is 64% in solution A and the concentration of water is 20% in solution B. Solution A and B are mixed in a ratio x:y such they form a 20 liter solution which has 6 litres of water. What is the value of 3x+2y if it is known that xand yare co-prime?a)5b)9c)19d)21Correct answer is option 'D'. Can you explain this answer?.

Solution A and solution B are 2 solutions of orange such that the concentration of orange juice is 64% in solution A and the concentration of water is 20% in solution B. Solution A and B are mixed in a ratio x:y such they form a 20 liter solution which has 6 litres of water. What is the value of 3x+2y if it is known that xand yare co-prime?a)5b)9c)19d)21Correct answer is option 'D'. Can you explain this answer? for CAT 2022 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Solution A and solution B are 2 solutions of orange such that the concentration of orange juice is 64% in solution A and the concentration of water is 20% in solution B. Solution A and B are mixed in a ratio x:y such they form a 20 liter solution which has 6 litres of water. What is the value of 3x+2y if it is known that xand yare co-prime?a)5b)9c)19d)21Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution A and solution B are 2 solutions of orange such that the concentration of orange juice is 64% in solution A and the concentration of water is 20% in solution B. Solution A and B are mixed in a ratio x:y such they form a 20 liter solution which has 6 litres of water. What is the value of 3x+2y if it is known that xand yare co-prime?a)5b)9c)19d)21Correct answer is option 'D'. Can you explain this answer?.

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The concentration of orange juice in solution A = 64%The concentration of orange juice in solution B = 100-20 = 80%The resultant solution obtained by mixing is of volume 20L out of which 6 L is water.Quantity of orange juice = 20L - 6L =14LConcentration of orange = 14/20 ×100%= 70%As per question 0.64x + 0.8y = 0.7(x+y)0.1y = 0.06xx/y = 0.1/0.06 = 35x = 5 and y = 33x + 2y = 3(5) + 2(3) = 15 + 6 = 21