SOLUTION: The ratio of foxes to rabbits in Deerfield Forest Preserve is 2 to 9. If there are 35 fewer foxes than rabbits, then how many of each are there? multiple choices answers are

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of foxes to rabbits in Deerfield Forest Preserve is 2 to 9. If there are 35 fewer foxes than rabbits, then how many of each are there? multiple choices answers are       Log On


   



Question 424153: The ratio of foxes to rabbits in Deerfield Forest Preserve is 2 to 9. If there are 35 fewer foxes than rabbits, then how many of each are there?
multiple choices answers are
a. 45 rabbits and 10 foxes
b. 55 rabbits and 20 foxes
c. 40 rabbits and 5 foxes
d. 90 rabbits and 20 foxes
e. 55 rabbits and 15 foxes

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
there are 35 fewer foxes than rabbits
Let x and (x-35) represent the number of rabbits and fox respectively
questions Sets Up the Proportion
2%2F9+=+%28x-35%29%2Fx+ |Cross Multiplying
2x = 9(x-35)
315 = 7x
x = 45, the number of rabbits. 10 Fox. (45-35)
CHECKING our Answer***
10/45 = 2/9