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

Question 141396: A pet store has a total of 35 dogs,cats,and rabbits. the number pf rabbits is 1 more than dogs, and there are 3 fewer rabbits than cats. how many cats are in the pet store
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
write an equation for each statement:
:
"A pet store has a total of 35 dogs,cats,and rabbits."
d + c + r = 35
:
"the number of rabbits is 1 more than dogs,"
r = d + 1
d = r - 1
:
" and there are 3 fewer rabbits than cats."
r = c - 3
c = r + 3
:
Find the number of rabbits using the 1st equation:
d + c + r = 35
Substitute for d and c
(r-1) + (r+3) + r = 35
3r + 2 = 35
3r = 35 - 2
3r = 33
r = 33/3
r = 11 rabbits
:
how many cats are in the pet store
c = r + 3
c = 11 + 3
c = 14 cats
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