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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?

2 Answers

4 votes

Answer:

120

Explanation

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

Soooo 120 animals!!

User Thatthatisis
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3 votes
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
User Mangecoeur
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5.9k points