Question

An animal shelter provides shelter for dogs and cats. The animal shelter currently has a total of 117 animals. If the number of cats is 3 more than 5 times the number of dogs, how many dogs and cats are currently at the animal shelter?

Answer 1

98 cats and 19 dogs

Explanation:

cat = c

dog = d

The animal shelter currently has a total of 117 animals

c + d = 117

c = 117 - d

the number of cats is 3 more than 5 times the number of dogs

c = 3 + 5d

subtitute c

117 - d = 3 + 5d

117 - 3 = 5d + d

114 = 6d

6d = 114

d = 114/6 = 19

so, the cat is 117-19 = 98