Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

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If the ratio of dogs to cats is 2:3, how many cats are there if there are 10 dogs?

10 cats

15 cats

To determine how many cats there are when the ratio of dogs to cats is given as 2:3, we start by understanding what this ratio means. A ratio of 2:3 indicates that for every 2 dogs, there are 3 cats.

Given that there are 10 dogs, we can set up a proportion based on the ratio. Since the ratio of dogs to cats is 2:3, we can express the relationship mathematically:

Let $ d $ represent the number of dogs and $ c $ represent the number of cats. From the ratio, we can write:

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

If there are 10 dogs, we can substitute that value into our proportion:

\frac{10}{c} = \frac{2}{3}

To find $ c $, we can cross-multiply:

10 \cdot 3 = 2 \cdot c

This simplifies to:

30 = 2c

Next, divide both sides by 2 to isolate $ c $:

c = \frac{30}{2} = 15

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20 cats

25 cats

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