At the age of 4 months, a puppy’s weight is 275% of its weight at the age of 2 months. how many times heavier is the puppy at 4 months than at 2 months? write your answer as a mixed number in simplest form.

If we let x be the puppy's weight from the past two months, and that the weight after 4 months is 2.75x.
The mixed fraction relating the weight of the puppy after 4 months and after 2 months is,
2 3/4.

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JeanaShupp JeanaShupp · Answer 2 · 2019-10-06T06:58:19+02:00

Answer: [tex]2\dfrac{3}{4}[/tex]

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 :-

[tex]n=\dfrac{\text{Weight of Puppy at 4 }}{\text{Weight of Puppy at 2}}\\\\=\dfrac{2.75x}{x}=2.75[/tex]

In fraction , [tex]2.75=\dfrac{275}{100}[/tex]

To simplify , divide numerator and denominator by 11 , we get

[tex]=\dfrac{11}{4}=2\dfrac{3}{4}[/tex]

Hence, the puppy is [tex]2\dfrac{3}{4}[/tex] times heavier than at 4 months than at 2 months.