SOLUTION: The ratio of rabbits to foxes is 2 to 9. If there are 35 fewer foxes than rabbits, then how many of each are there?

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


   

Question 196665: The ratio of rabbits to foxes is 2 to 9. If there are 35 fewer foxes than rabbits, then how many of each are there?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use a ratio. Let R be the number of rabbits and F be the number of fox.
You are told F+=+R+-+35
2%2F9+=+F%2FR
2%2F9+=+%28R-35%29%2FR
2%2AR+=+9%28R-35%29
2R+=+9R+-+315+
315+=+7R
45+=+R
F+=+R-35
F=10
Check your answer, does 2/9 = 10/45?