The ratio of cats to dogs is 2:5. If there are 15 dogs, how many cats are there?

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Multiple Choice

The ratio of cats to dogs is 2:5. If there are 15 dogs, how many cats are there?

Explanation:
Understanding ratios and using a unit approach helps here. The ratio of cats to dogs is 2:5, meaning for every 2 cats there are 5 dogs. This sets a basic unit where 2 cats correspond to 5 dogs. Since there are 15 dogs, divide by the 5-dog unit: 15 ÷ 5 = 3 units. Each unit has 2 cats, so 3 units give 3 × 2 = 6 cats. Quick check shows 6 cats to 15 dogs simplifies to 2:5, which matches the given ratio. The other numbers don’t maintain the 2:5 ratio with 15 dogs (e.g., 8 cats would pair with 20 dogs, not 15).

Understanding ratios and using a unit approach helps here. The ratio of cats to dogs is 2:5, meaning for every 2 cats there are 5 dogs. This sets a basic unit where 2 cats correspond to 5 dogs. Since there are 15 dogs, divide by the 5-dog unit: 15 ÷ 5 = 3 units. Each unit has 2 cats, so 3 units give 3 × 2 = 6 cats. Quick check shows 6 cats to 15 dogs simplifies to 2:5, which matches the given ratio. The other numbers don’t maintain the 2:5 ratio with 15 dogs (e.g., 8 cats would pair with 20 dogs, not 15).

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