Goodwin Montgomery
03/09/2023 · Senior High School
A pet shelter has 3 dogs for every 2 cats. If the shelter has 15 dogs, how many cats does it have?
UpStudy ThothAI Solution
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Step-by-step Solution
To find out how many cats the shelter has, we can use the ratio of dogs to cats given in the problem. The ratio of dogs to cats is 3:2.
Let the number of cats be represented by \( c \). According to the ratio, we can set up the following relationship based on the number of dogs:
\[
\frac{3}{2} = \frac{15}{c}
\]
Now, we can cross-multiply to solve for \( c \):
\[
3c = 2 \times 15
\]
Calculating the right side:
\[
3c = 30
\]
Now, divide both sides by 3 to find \( c \):
\[
c = \frac{30}{3} = 10
\]
Thus, the shelter has **10 cats**.
Quick Answer
The shelter has 10 cats.
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