Answer: \(2\dfrac{3}{4}\)
Step-by-step explanation:
Let x denotes the weight of puppy at the age of 2 months.
Given :At the age of 4 months, a puppy’s weight is 275% of its weight at the age of 2 months.
Since we can write 275% = 2.75 [ To convert percent into decimal we divide it by 100]
i.e. :At the age of 4 months, a puppy’s weight is 2.75x
Now, the number of times heavier is the puppy at 4 months than at 2 months will be :-
\(n=\dfrac{\text{Weight of Puppy at 4 }}{\text{Weight of Puppy at 2}}\\\\=\dfrac{2.75x}{x}=2.75\)
In fraction , \(2.75=\dfrac{275}{100}\)
To simplify , divide numerator and denominator by 11 , we get
\(=\dfrac{11}{4}=2\dfrac{3}{4}\)
Hence, the puppy is \(2\dfrac{3}{4}\) times heavier than at 4 months than at 2 months.
