Kendrick's Kennel has 2 spots for cats for every 7 spots for dogs. If he has a total of 144 spots for both cats and dogs,then how many more spots does he have for dogs than cats?

Respuesta :

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 :)