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Tank A contains 6 times as much water as Tank B. How much water must Mohan transfer from Tank A to Tank B so that each tank contains 70 litres of water?
- a)50 litres
- b)60 litres
- c)75 litres
- d)120 litres
Correct answer is option 'A'. Can you explain this answer?
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To solve this problem, we need to set up an equation based on the information given in the problem.
Let's assume that the amount of water in Tank B is x litres.
According to the problem, Tank A contains 6 times as much water as Tank B, so the amount of water in Tank A is 6x litres.
We need to transfer some water from Tank A to Tank B so that each tank contains 70 litres of water.
Let's say we transfer y litres of water from Tank A to Tank B.
After the transfer, the amount of water in Tank A will be 6x - y litres, and the amount of water in Tank B will be x + y litres.
Since each tank should contain 70 litres of water, we can set up the following equation:
6x - y = 70 (equation 1)
x + y = 70 (equation 2)
We can solve this system of equations using the method of substitution or elimination.
Let's solve it using the method of elimination:
Adding equation 1 and equation 2, we get:
6x - y + x + y = 70 + 70
7x = 140
x = 20
Now that we know the value of x, we can substitute it back into equation 2 to find the value of y:
20 + y = 70
y = 70 - 20
y = 50
Therefore, Mohan needs to transfer 50 litres of water from Tank A to Tank B so that each tank contains 70 litres of water.
Hence, the correct answer is option A) 50 litres.
Let's assume that the amount of water in Tank B is x litres.
According to the problem, Tank A contains 6 times as much water as Tank B, so the amount of water in Tank A is 6x litres.
We need to transfer some water from Tank A to Tank B so that each tank contains 70 litres of water.
Let's say we transfer y litres of water from Tank A to Tank B.
After the transfer, the amount of water in Tank A will be 6x - y litres, and the amount of water in Tank B will be x + y litres.
Since each tank should contain 70 litres of water, we can set up the following equation:
6x - y = 70 (equation 1)
x + y = 70 (equation 2)
We can solve this system of equations using the method of substitution or elimination.
Let's solve it using the method of elimination:
Adding equation 1 and equation 2, we get:
6x - y + x + y = 70 + 70
7x = 140
x = 20
Now that we know the value of x, we can substitute it back into equation 2 to find the value of y:
20 + y = 70
y = 70 - 20
y = 50
Therefore, Mohan needs to transfer 50 litres of water from Tank A to Tank B so that each tank contains 70 litres of water.
Hence, the correct answer is option A) 50 litres.
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Tank A contains 6 times as much water as Tank B. How much water must Mohan transfer from Tank A to Tank B so that each tank contains 70 litres of water?a)50 litresb)60 litresc)75 litresd)120 litresCorrect answer is option 'A'. Can you explain this answer?
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Tank A contains 6 times as much water as Tank B. How much water must Mohan transfer from Tank A to Tank B so that each tank contains 70 litres of water?a)50 litresb)60 litresc)75 litresd)120 litresCorrect answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Tank A contains 6 times as much water as Tank B. How much water must Mohan transfer from Tank A to Tank B so that each tank contains 70 litres of water?a)50 litresb)60 litresc)75 litresd)120 litresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tank A contains 6 times as much water as Tank B. How much water must Mohan transfer from Tank A to Tank B so that each tank contains 70 litres of water?a)50 litresb)60 litresc)75 litresd)120 litresCorrect answer is option 'A'. Can you explain this answer?.
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