Problema Solution
There are 120 cats and dogs at a local animal shelter. If the ratio of cats to dogs is 3:2, how many dogs are at the shelter?
Answer provided by our tutors
Let
x = the number of cats, x>0
y = the number of dogs, y>0
There are 120 cats and dogs at a local animal shelter:
x + y = 120
The ratio of cats to dogs is 3:2
x : y = 3 : 2 cross-multiply
2x = 3y
We have the following system of equations:
x + y = 120
2x = 3y
........
........
x = 72 cats
y = 48 dogs
There are 48 dogs in the shelter.