Julie keeps rabbits and hamsters as pets. She has four rabbits and an odd number of hamsters. She has more hamsters than rabbits. The total number of pets she has is less than ten. How many hamsters does Julie have?

H is greater than 4, less than 6, and is odd. H, therefore, must be 5.

Let's write down what we know:

Julie keeps Rabbits ("R") and Hamsters ("H") as pets.

##R=4##

She has more H than R, so:

##H>4## and H is odd.

The total of R and H is less than 10, so

##R+H<10##

we can substitute in for R:

##4+H<10##

and now we can solve for H:

##H<10-4=6##

So we know that H is greater than 4, less than 6, and is odd. H, therefore, must be 5.