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A beaker is 3/7 filled with water. Another 20 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker?
- a)45 litres
- b)20 litres
- c)65 litres
- d)35 litres
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A beaker is 3/7filled with water. Another 20 litres of water is needed...
Let capacity of beaker = x
Then,
Then,
Most Upvoted Answer
A beaker is 3/7filled with water. Another 20 litres of water is needed...
Problem:
A beaker is 3/7 filled with water. Another 20 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker?
Solution:
To solve the problem, we can use the following steps:
Step 1: Find the amount of water already in the beaker.
Given that the beaker is 3/7 filled with water, we can express this as a fraction or a decimal.
Fraction: 3/7
Decimal: 0.43 (rounded to two decimal places)
Step 2: Find the remaining space in the beaker.
Since the beaker is not full, we can find the remaining space by subtracting the amount of water already in the beaker from the total capacity.
Let the total capacity of the beaker be x.
Remaining space = x - (3/7)x
= (4/7)x
Step 3: Find the amount of water needed to fill the beaker to its brim.
The problem states that another 20 litres of water is needed to fill the beaker to its brim.
Step 4: Set up an equation and solve for x.
We know that the remaining space in the beaker is 4/7 of the total capacity, and we know that 20 litres of water is needed to fill the remaining space. So we can set up an equation:
(4/7)x = 20
To solve for x, we can multiply both sides of the equation by 7/4:
(4/7)x * (7/4) = 20 * (7/4)
x = 35
Therefore, the capacity of the beaker is 35 litres.
A beaker is 3/7 filled with water. Another 20 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker?
Solution:
To solve the problem, we can use the following steps:
Step 1: Find the amount of water already in the beaker.
Given that the beaker is 3/7 filled with water, we can express this as a fraction or a decimal.
Fraction: 3/7
Decimal: 0.43 (rounded to two decimal places)
Step 2: Find the remaining space in the beaker.
Since the beaker is not full, we can find the remaining space by subtracting the amount of water already in the beaker from the total capacity.
Let the total capacity of the beaker be x.
Remaining space = x - (3/7)x
= (4/7)x
Step 3: Find the amount of water needed to fill the beaker to its brim.
The problem states that another 20 litres of water is needed to fill the beaker to its brim.
Step 4: Set up an equation and solve for x.
We know that the remaining space in the beaker is 4/7 of the total capacity, and we know that 20 litres of water is needed to fill the remaining space. So we can set up an equation:
(4/7)x = 20
To solve for x, we can multiply both sides of the equation by 7/4:
(4/7)x * (7/4) = 20 * (7/4)
x = 35
Therefore, the capacity of the beaker is 35 litres.
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A beaker is 3/7filled with water. Another 20 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker?a)45 litresb)20 litresc)65 litresd)35 litresCorrect answer is option 'D'. Can you explain this answer?
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