Alright, lets get started.
Kendrick's Kennel has 2 spots for cats for every 7 spots for dogs.
Suppose spots for cats = 2x
So, spots for dogs will be = 7x
Total spots for cats and dogs will be = [tex] 2x + 7x [/tex]
Total spots for cats and dogs will be = [tex] 9x [/tex]
As per given in question, total spots for both cats and dogs are 144, so
[tex] 9x = 144 [/tex]
Dividing 9 in both sides
[tex] \frac{9x}{9} =\frac{144}{9}[/tex]
x = 16
So, spots for cats = [tex] 2 * 16 = 32 [/tex]
Spots for dogs = [tex] 7 * 16 = 112 [/tex]
So, spots for dogs more than cats are = [tex] 112 - 32 = 80 [/tex]
It means he has 80 more spots for dogs than cats. : Answer
Hope it will help :)