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A beaker is 5/7 filled with water. Another 10 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker?
- a)50 litres
- b)20 litres
- c)70 litres
- d)35 litres
Correct answer is option 'D'. Can you explain this answer?
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A beaker is 5/7 filled with water. Another 10 litres of water is neede...
To find the capacity of the beaker, we need to determine the amount of water it can hold when filled to its brim. We are given that the beaker is currently filled to 5/7 of its capacity. Let's solve the problem step by step:
Step 1: Calculate the amount of water currently in the beaker
The beaker is 5/7 filled with water. Let's assume its capacity is x liters. According to the given information, the amount of water currently in the beaker is (5/7) * x liters.
Step 2: Calculate the amount of water needed to fill the beaker to its brim
We are also given that another 10 liters of water is needed to fill the beaker to its brim. So, the total amount of water needed to fill the beaker is (5/7) * x + 10 liters.
Step 3: Set up an equation to find the capacity of the beaker
According to the problem, the total amount of water needed to fill the beaker is equal to its capacity. So, we can set up the following equation:
(5/7) * x + 10 = x
Step 4: Solve the equation for x
To solve the equation, let's first remove the fraction by multiplying both sides by 7:
7 * (5/7) * x + 7 * 10 = 7 * x
5x + 70 = 7x
Subtract 5x from both sides:
70 = 2x
Divide both sides by 2:
35 = x
Therefore, the capacity of the beaker is 35 liters.
So, the correct answer is option D) 35 liters.
Step 1: Calculate the amount of water currently in the beaker
The beaker is 5/7 filled with water. Let's assume its capacity is x liters. According to the given information, the amount of water currently in the beaker is (5/7) * x liters.
Step 2: Calculate the amount of water needed to fill the beaker to its brim
We are also given that another 10 liters of water is needed to fill the beaker to its brim. So, the total amount of water needed to fill the beaker is (5/7) * x + 10 liters.
Step 3: Set up an equation to find the capacity of the beaker
According to the problem, the total amount of water needed to fill the beaker is equal to its capacity. So, we can set up the following equation:
(5/7) * x + 10 = x
Step 4: Solve the equation for x
To solve the equation, let's first remove the fraction by multiplying both sides by 7:
7 * (5/7) * x + 7 * 10 = 7 * x
5x + 70 = 7x
Subtract 5x from both sides:
70 = 2x
Divide both sides by 2:
35 = x
Therefore, the capacity of the beaker is 35 liters.
So, the correct answer is option D) 35 liters.
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A beaker is 5/7 filled with water. Another 10 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker?a)50 litresb)20 litresc)70 litresd)35 litresCorrect answer is option 'D'. Can you explain this answer?
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