Mathematics ACT Aspire Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

If the ratio of cats to dogs in a pet store is 2:3, how many cats are there if there are 15 dogs?

5 cats

10 cats

To determine the number of cats when given the ratio of cats to dogs (2:3) and the number of dogs (15), we start by understanding the ratio itself. The ratio of 2:3 can be interpreted as for every 2 cats, there are 3 dogs.

First, we can express the number of cats in terms of the number of dogs. Since the ratio indicates that for every 3 dogs there are 2 cats, we can set up a proportion. If we let \( c \) represent the number of cats, we know that:

\[

\frac{c}{15} = \frac{2}{3}

\]

To solve for \( c \), we can cross-multiply:

\[

3c = 2 \times 15

\]

This simplifies to:

\[

3c = 30

\]

Now, we divide both sides by 3 to solve for \( c \):

\[

c = \frac{30}{3} = 10

\]

Thus, if there are 15 dogs in the pet store, the number of cats is indeed 10. This answer aligns perfectly with the ratio provided: for every 5 total animals (2 cats and

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15 cats

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