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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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A beaker is 3/7 filled with water. Another 20 litres of water is neede...
Let capacity of beaker=x Then, 
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Let capacity of beaker=x Then, 
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A beaker is 3/7 filled with water. Another 20 litres of water is neede...
Understanding the Problem
To find the capacity of the beaker, we need to analyze the information given in the question.
Current Water Level
- The beaker is currently filled with water up to \(\frac{3}{7}\) of its total capacity.
Water Needed to Fill the Beaker
- It is mentioned that an additional 20 litres of water is required to fill the beaker completely.
Setting Up the Equation
Let \(C\) be the total capacity of the beaker in litres. If \(\frac{3}{7}\) of the beaker is filled, then:
- Quantity of water currently in the beaker = \(\frac{3}{7}C\)
Since 20 litres are needed to fill the beaker to the brim, we can express the total capacity as:
\[
\frac{3}{7}C + 20 = C
\]
Simplifying the Equation
Now, let’s simplify this equation step by step:
1. Rearranging gives:
\[
C - \frac{3}{7}C = 20
\]
2. Converting \(C\) to a fraction:
\[
\frac{7}{7}C - \frac{3}{7}C = 20
\]
3. This simplifies to:
\[
\frac{4}{7}C = 20
\]
4. Now, multiply both sides by \(\frac{7}{4}\):
\[
C = 20 \times \frac{7}{4} = 35
\]
Conclusion
By solving the equation, we find that the total capacity of the beaker is 35 litres. Therefore, the correct answer is option 'D'.
To find the capacity of the beaker, we need to analyze the information given in the question.
Current Water Level
- The beaker is currently filled with water up to \(\frac{3}{7}\) of its total capacity.
Water Needed to Fill the Beaker
- It is mentioned that an additional 20 litres of water is required to fill the beaker completely.
Setting Up the Equation
Let \(C\) be the total capacity of the beaker in litres. If \(\frac{3}{7}\) of the beaker is filled, then:
- Quantity of water currently in the beaker = \(\frac{3}{7}C\)
Since 20 litres are needed to fill the beaker to the brim, we can express the total capacity as:
\[
\frac{3}{7}C + 20 = C
\]
Simplifying the Equation
Now, let’s simplify this equation step by step:
1. Rearranging gives:
\[
C - \frac{3}{7}C = 20
\]
2. Converting \(C\) to a fraction:
\[
\frac{7}{7}C - \frac{3}{7}C = 20
\]
3. This simplifies to:
\[
\frac{4}{7}C = 20
\]
4. Now, multiply both sides by \(\frac{7}{4}\):
\[
C = 20 \times \frac{7}{4} = 35
\]
Conclusion
By solving the equation, we find that the total capacity of the beaker is 35 litres. Therefore, the correct answer is option 'D'.
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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 litresb)20 litresc)65 litresd)35 litresCorrect answer is option 'D'. Can you explain this answer?
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