SOLUTION: A pet store has a total of 35 dogs,cats,and rabbits. The number of rabbits is 1 more than the number of dogs & there are 3 fewer rabbits than cats. How many cats are in the pet sto

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: A pet store has a total of 35 dogs,cats,and rabbits. The number of rabbits is 1 more than the number of dogs & there are 3 fewer rabbits than cats. How many cats are in the pet sto      Log On

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Question 434899: A pet store has a total of 35 dogs,cats,and rabbits. The number of rabbits is 1 more than the number of dogs & there are 3 fewer rabbits than cats. How many cats are in the pet store?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = the number of cats
Let D = the number of dogs
Let R = the number of rabbits
Given:
C + D + R = 35 (1)
D = R - 1
C = R + 3
Substitute the above expressions for D and C into equation (1):
(R+3) + (R-1) + R = 35
Solve for R:
3R + 2 = 35
R = 11
Therefore, the number of cats = R + 3 = 11 + 3 = 14
Ans: 14 cats