If the ratio of the number of cats to dogs in a shelter is 2:3 and there are 30

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Question: If the ratio of the number of cats to dogs in a shelter is 2:3 and there are 30 dogs, how many cats are there?

Options:

Correct Answer: 20

Solution:

The ratio of cats to dogs is 2:3. If there are 30 dogs, the number of cats can be calculated as (2/3) * 30 = 20 cats.

If the ratio of the number of cats to dogs in a shelter is 2:3 and there are 30 dogs, how many cats are there?

If the ratio of the number of cats to dogs in a shelter is 2:3 and there are 30 dogs, how many cats are there?

Step 1: Understand the ratio of cats to dogs, which is 2:3.
Step 2: Identify the number of dogs in the shelter, which is 30.
Step 3: Use the ratio to find out how many parts the dogs represent. In the ratio 2:3, the total parts are 2 + 3 = 5 parts.
Step 4: Determine how many parts each dog represents by dividing the number of dogs by the total parts: 30 dogs / 3 parts = 10 dogs per part.
Step 5: Calculate the number of cats by multiplying the number of parts for cats (2 parts) by the number of dogs per part: 2 parts * 10 dogs per part = 20 cats.

Ratios – Understanding and applying ratios to find proportional quantities.
Proportions – Using proportions to relate different quantities based on a given ratio.