Question

12 apples weigh \[2kg\text{ }500gram\] . How many apples weigh \[15kg\] ?

Answer 1

Hint: Since we need to know the number of apples that come in \[15kg\] . So we will find out how many apples come in one gram, from the given weight of 12 apples which is \[2kg\text{ }500gram\] . And we will multiply a number which will make 1 gram in \[15kg\] .

Complete step by step answer:
In moving ahead with question in step wise manner;
Weight of 12 apples \[=2kg\text{ }500gram\]
As we know that $ 1kg=1000gram $
So we can write \[2kg\text{ }500gram\] in gram as;
 \[2kg\text{ }500gram=2500gram\]
Number of apples come in \[15kg=?\]
As we know that, in order to know the number of apples come in one gram, we have to divide the given mass of \[2kg\text{ }500gram\] with 12, as it is weight of 12 apples, i.e. we know that;
Number of apples in \[2kg\text{ }500gram=12\]
Number of apples in $ 1gram=\dfrac{12}{2500} $
So we need to find the number of apples in $ 15kg $ , which can further be written as $ 15\times 1000=15000gram $ , because as we know that \[1kg=1000gram\] . So we can say that we need to find out the number of apples in $ 15000gram $ rather than saying $ 15kg $ .
So as we know, the Number of apples in $ 1gram=\dfrac{12}{2500} $ , for calculating the number of apples in $ 15000gram/15kg $ multiplied by $ 15000 $ on both sides of the equation. So we will get;
Number of apples in \[\left( 15000 \right)1gram=\dfrac{12}{2500}\left( 15000 \right)\]
Which on further solving we will get;
Number of apples in \[15000gram=\dfrac{180000}{2500}\]
Number of apples in \[15000gram=72\] apples
So we can say that in $ 15000gram/15kg $ there are 72 apples.
Hence answer is 72.

Note: In the solution we had found the number of apples in one gram, because we had to calculate the quantity of apples for $ 15000gram/15kg $ . If we will go with the weight of one apple rather than going with the number of apples in one gram then it would be wrong.