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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?

Respuesta :

carlosego
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

Answer:

120

Step-by-step explanation

2/3.....1/4x+1/2y=48    x=48 y=72               48+72=120

Soooo 120 animals!!

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