One egg has a mass of $ 50 $ g. How many eggs in $ 1 $ kg?
Answer
561.9k+ views
Hint: In the given question, we are required to find the number of eggs that weigh $ 1 $ kg collectively given that weight of one egg is $ 50\,g $ . So, we can use unitary method to find the number of eggs in $ 1 $ kg of mass as we are given the mass of $ 1 $ egg is $ 50\,g $ in which we will multiply both sides of the equation with a number such that total weight becomes $ 1 $ kilogram.
Complete step by step solution:
So, in the question we are given that the mass of one egg is $ 50\,g $ .
So, Mass of one egg $ = 50\,g $
Conversely, we can also say that,
Number of eggs in $ 50\,g $ $ = 1 $
Now, according to the unitary method, we first find out the number of eggs in one unit of mass.
So, Number of eggs in $ 1\,g $ $ = \left( {\dfrac{1}{{50}}} \right) $
Now, Number of eggs in $ 1\, $ kilogram $ = \left( {\dfrac{{1000}}{{50}}} \right) $
$ \Rightarrow 20 $ eggs.
Hence, there are $ 20 $ eggs in $ 1\, $ kilogram.
So, the correct answer is “20 eggs”.
Note: In these types of questions, the unitary method is very useful and simple to solve the problem. Alternatively, we can directly find the number of eggs in 1 kg using ratio and proportion method. The number of eggs and their total mass is in direct proportion to each other because as we increase the number of eggs, the mass also increases and vice versa. For more complex problems, ratio and proportion methods can also be used, which is a bit easy and short method to get the result.
Complete step by step solution:
So, in the question we are given that the mass of one egg is $ 50\,g $ .
So, Mass of one egg $ = 50\,g $
Conversely, we can also say that,
Number of eggs in $ 50\,g $ $ = 1 $
Now, according to the unitary method, we first find out the number of eggs in one unit of mass.
So, Number of eggs in $ 1\,g $ $ = \left( {\dfrac{1}{{50}}} \right) $
Now, Number of eggs in $ 1\, $ kilogram $ = \left( {\dfrac{{1000}}{{50}}} \right) $
$ \Rightarrow 20 $ eggs.
Hence, there are $ 20 $ eggs in $ 1\, $ kilogram.
So, the correct answer is “20 eggs”.
Note: In these types of questions, the unitary method is very useful and simple to solve the problem. Alternatively, we can directly find the number of eggs in 1 kg using ratio and proportion method. The number of eggs and their total mass is in direct proportion to each other because as we increase the number of eggs, the mass also increases and vice versa. For more complex problems, ratio and proportion methods can also be used, which is a bit easy and short method to get the result.
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