Kendrenks kennel has 2 spots for cats for every 7 spots for dogs if he has a total og 144 spots for both cats and dogs then how many more spots does he have for dogs than cats

Kendrenks kennel has 80 more spots for dogs than spots for cats

Step-by-step explanation:

Hi

First of all we are going to define the unknowns of the problem, so number of spots for cats and number of spots for dogs. Then as the problem has two unknowns, we have to build two equations to solve it.

Using "if he has a total of 144 spots for both cats and dogs" we have one, so

Then "Kendrenks kennel has 2 spots for cats for every 7 spots for dogs", the other one .

Replace (2) in (1) we get , multiplying both sides by 7 , then this info in (2).

Finally as the question is "how many more spots does he have for dogs than cats?" , the answer is

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value