Question

The ratio of adult cats to kittens at a pet care center on Tuesday was 4:3. There were 24 kittens there that day. Friday, 36 adult cats were at the pet care center. What is the difference between the number of adult cats at the pet care center on Friday and Tuesday?
The difference between the number of adult cats at the pet care center on Friday and Tuesday is?

Answer 1

To determine the number of adult cats at the pet care center on Tuesday, we start with the ratio of adult cats to kittens, which is 4:3. Given that there are 24 kittens, we can set up a proportion to find the number of adult cats.

Let \( A \) be the number of adult cats. According to the ratio, we have:

\[
\frac{A}{24} = \frac{4}{3}
\]

Cross-multiplying gives:

\[
3A = 4 \times 24
\]

Calculating the right side:

\[
3A = 96
\]

Now, we divide both sides by 3 to get \( A \):

\[
A = \frac{96}{3} = 32
\]

So, there were 32 adult cats at the pet care center on Tuesday.

On Friday, we are told that there were 36 adult cats at the pet care center.

Now we can calculate the difference between the number of adult cats on Friday and Tuesday:

\[
\text{Difference} = \text{Adult cats on Friday} - \text{Adult cats on Tuesday} = 36 - 32
\]

Calculating that gives:

\[
\text{Difference} = 4
\]

Thus, the difference between the number of adult cats at the pet care center on Friday and Tuesday is \( \boxed{4} \).