Question

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?

Answer 1

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 = $2x + 7x$

Total spots for cats and dogs will be = $9x$

As per given in question, total spots for both cats and dogs are 144, so

$9x = 144$

Dividing 9 in both sides

$\frac{9x}{9} =\frac{144}{9}$

x = 16

So, spots for cats = $2 * 16 = 32$

Spots for dogs = $7 * 16 = 112$

So, spots for dogs more than cats are = $112 - 32 = 80$

It means he has 80 more spots for dogs than cats.    :    Answer

Hope it will help :)