Question

An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there?
Question 19 options:

A)

15

B)

90

C)

20

D)

45

Answer 1

To find the number of dogs in the shelter, we can use the given ratio of dogs to cats, which is 3:2.

Let the number of dogs be represented as \( d \) and the number of cats as \( c \).

From the ratio, we can express dogs in terms of cats:
\[
\frac{d}{c} = \frac{3}{2}
\]

We know the number of cats, \( c = 30 \). We can substitute this into the equation:
\[
\frac{d}{30} = \frac{3}{2}
\]

To solve for \( d \), we can cross-multiply:
\[
d \cdot 2 = 3 \cdot 30
\]

This simplifies to:
\[
2d = 90
\]

Now, divide both sides by 2:
\[
d = 45
\]

So, there are 45 dogs in the shelter.

Thus, the answer is **D) 45**.