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

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.