Problema Solution
A veterinarian'a clinic has a patient load of 1500 cats and dogs. The ratio of cats to dogs is 4 to 8. How many patients are cats and how many are dogs? Explain your reasoning.
Answer provided by our tutors
let
c = the number of cat
d = the number of dogs
A veterinarian'a clinic has a patient load of 1500 cats and dogs
c + d = 1500
The ratio of cats to dogs is 4 to 8
c/d = 4/8 cross multiply
8c = 4d divide both sides by 4
2c = d
by solving the system of equations
c + d = 1500
2c = d
we find
c = 500 cats
d = 1000 dogs
click here to see the step by step solution of the system of equations
indeed 500 + 1000 = 1500
500 : 1000 = 1 : 2 = 4 : 8