Question

A pet store has 26 rabbits and hamsters. The number of rabbits is 2 more than double the number of hamsters. How many hamsters does the pet store have?

Answer 1

`3x26 \: maybe`

Answer 2

Let the number of rabbits in the pet store is x

And the number of hamsters in the pet store is y.

Now, we have been given that pet store has 26 rabbits and hamsters. Thus, we have the linear equation

`x+y=26...........(1)`

Now, number of rabbits is 2 more than double the number of hamsters. Hence, we have

`x=2+2y`

Substituting this value of x in equation 1, we get

`2+2y+y=26\\ 3y=24\\ y=8`

Thus, there are 8 hamsters in the pet store.