MATH SOLVE

2 months ago

Q:
# A certain pet store has only cats and dogs. the ratio of the number of cats to the number of dogs in the pet store is 2:3. 1/4 of the cats and 1/2 of the dogs wear collars. if 48 animals wear collars, what is the total number of animals in the pet store?

Accepted Solution

A:

The first thing we must do for this case is to define variables.

We have then:

x: number of cats

y: number of dogs

We write the system of equations:

x / y = 2/3

(1/4) x + (1/2) y = 48

Solving the system we have:

x = 48

y = 72

The total number of animals is:

x + y = 48 + 72 = 120

Answer:

The total number of animals in the pet store is:

120

We have then:

x: number of cats

y: number of dogs

We write the system of equations:

x / y = 2/3

(1/4) x + (1/2) y = 48

Solving the system we have:

x = 48

y = 72

The total number of animals is:

x + y = 48 + 72 = 120

Answer:

The total number of animals in the pet store is:

120