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If a bucket is 80% full, then it contains 2 liters more water than when it is 6623% full. What is the capacity of the bucket?
- a)10 liters
- b)15 liters
- c)16 2/3 liters
- d)20 liters
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If a bucket is 80% full, then it contains 2 liters more water than whe...
Let the capacity of bucket is x litre.
As per the question,
we have [(4x)/5 - (2x)/3] = 2
x = 15 litres
Most Upvoted Answer
If a bucket is 80% full, then it contains 2 liters more water than whe...
To solve this problem, we can set up an equation based on the given information.
Let's assume the capacity of the bucket is "x" liters.
According to the problem, when the bucket is 80% full, it contains 2 liters more water than when it is 66 2/3% full.
- When the bucket is 80% full, it contains 80/100 * x = 0.8x liters of water.
- When the bucket is 66 2/3% full, it contains 66 2/3/100 * x = 2x/3 liters of water.
From the given information, we know that the bucket is 2 liters more full when it is 80% full compared to when it is 66 2/3% full. So we can set up the equation:
0.8x = 2x/3 + 2
To solve this equation, we can multiply both sides by 3 to get rid of the fraction:
3 * 0.8x = 3 * (2x/3 + 2)
2.4x = 2x + 6
Next, we can subtract 2x from both sides of the equation:
2.4x - 2x = 2x - 2x + 6
0.4x = 6
Finally, we can divide both sides by 0.4 to solve for x:
x = 6 / 0.4
x = 15
Therefore, the capacity of the bucket is 15 liters. So, option B is the correct answer.
Let's assume the capacity of the bucket is "x" liters.
According to the problem, when the bucket is 80% full, it contains 2 liters more water than when it is 66 2/3% full.
- When the bucket is 80% full, it contains 80/100 * x = 0.8x liters of water.
- When the bucket is 66 2/3% full, it contains 66 2/3/100 * x = 2x/3 liters of water.
From the given information, we know that the bucket is 2 liters more full when it is 80% full compared to when it is 66 2/3% full. So we can set up the equation:
0.8x = 2x/3 + 2
To solve this equation, we can multiply both sides by 3 to get rid of the fraction:
3 * 0.8x = 3 * (2x/3 + 2)
2.4x = 2x + 6
Next, we can subtract 2x from both sides of the equation:
2.4x - 2x = 2x - 2x + 6
0.4x = 6
Finally, we can divide both sides by 0.4 to solve for x:
x = 6 / 0.4
x = 15
Therefore, the capacity of the bucket is 15 liters. So, option B is the correct answer.
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If a bucket is 80% full, then it contains 2 liters more water than when it is 6623% full. What is the capacity of the bucket?a)10 litersb)15 litersc)16 2/3 litersd)20 litersCorrect answer is option 'B'. Can you explain this answer?
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