The number of dogs in the animal shelter which comprise of cats, dogs, and rabbits is 84 dogs.
Equation
Total animals = 5 × 47
= 235
- Number of rabbits = 1/2(d + 20) - 5
- Number of cats = d + 20
- Number of dogs = d
235 = d + (d + 20) + 1/2(d + 20) - 5
235 = d + d + 20 + 1/2d + 10 - 5
235 = 2 1/2d + 25
235 - 25 = 2 1/2d
210 = 2 1/2d
d = 210 ÷ 2 1/2
d = 210 ÷ 5/2
= 210 × 2/5
= 420/5
d = 84 dogs
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