The ratio of the number of cats to dogs in a shelter is 4:3. If there are 28 cat

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Question: The ratio of the number of cats to dogs in a shelter is 4:3. If there are 28 cats, how many dogs are there?

Options:

Correct Answer: 21

Solution:

The ratio of cats to dogs is 4:3. If there are 28 cats, we can set up the proportion: 4/3 = 28/x. Solving for x gives us x = 21. Therefore, there are 21 dogs.

The ratio of the number of cats to dogs in a shelter is 4:3. If there are 28 cat

Practice Questions

The ratio of the number of cats to dogs in a shelter is 4:3. If there are 28 cats, how many dogs are there?

Questions & Step-by-Step Solutions

The ratio of the number of cats to dogs in a shelter is 4:3. If there are 28 cats, how many dogs are there?

Step 1: Understand the ratio of cats to dogs, which is 4:3. This means for every 4 cats, there are 3 dogs.
Step 2: Identify how many parts the ratio has. The total parts in the ratio 4:3 is 4 + 3 = 7 parts.
Step 3: Find out how many cats correspond to one part. Since there are 28 cats, we divide 28 by 4 (the number of parts for cats) to find the value of one part: 28 / 4 = 7.
Step 4: Now, find out how many dogs there are by multiplying the number of parts for dogs (3) by the value of one part (7): 3 * 7 = 21.
Step 5: Conclude that there are 21 dogs in the shelter.

Ratios and Proportions – Understanding how to set up and solve ratios based on given quantities.

The ratio of the number of cats to dogs in a shelter is 4:3. If there are 28 cat

What’s inside this PDF?

The ratio of the number of cats to dogs in a shelter is 4:3. If there are 28 cat

Practice Questions

Questions & Step-by-Step Solutions

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