Question
In a pet store there are 4 more cats than dogs and the ratio of cats to dogs is 12 to 9.What is the total number of cats and dogs in the pet store?
Answers
let the number of cats be 12x
let the number of dogs be 9x
12x - 9x = 4
3x=4
x = 4/3
number of cats = 12x = 12(4/3) = 16
number of dogs = 9(4/3) = 12
for a total of 28 cats and dogs.
check:
16:12 = 4:3 or the given 12:9
cats - dogs = 16-12 = 4 , thus 4 more cats than dogs
let the number of dogs be 9x
12x - 9x = 4
3x=4
x = 4/3
number of cats = 12x = 12(4/3) = 16
number of dogs = 9(4/3) = 12
for a total of 28 cats and dogs.
check:
16:12 = 4:3 or the given 12:9
cats - dogs = 16-12 = 4 , thus 4 more cats than dogs