Pregunta
If the ratio of cats to dogs is 3:5 and there are 15 cats, how many dogs are there?
Ask by Lynch Burton. in South Africa
Nov 25,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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There are 25 dogs.
Solución
Let the number of dogs be \( d \).
According to the given information, we have \( \frac{15}{d} = \frac{3}{5} \).
Now, we can solve this equation to find the number of dogs.
Solve the equation by following steps:
- step0: Solve for \(d\):
\(\frac{15}{d}=\frac{3}{5}\)
- step1: Find the domain:
\(\frac{15}{d}=\frac{3}{5},d\neq 0\)
- step2: Rewrite the expression:
\(d=\frac{15\times 5}{3}\)
- step3: Evaluate:
\(d=25\)
- step4: Check if the solution is in the defined range:
\(d=25,d\neq 0\)
- step5: Find the intersection:
\(d=25\)
So, there are 25 dogs.
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Simplifique esta solución Beyond the Answer
In the given ratio of cats to dogs, 3:5 means that for every 3 cats, there are 5 dogs. Since you have 15 cats, you can set up a proportion. If 3 parts represent 15 cats, each part equals 5 (15 cats ÷ 3 parts). Now, to find the number of dogs, multiply the 5 parts by the value of each part: 5 parts × 5 = 25 dogs. So, there are 25 dogs! It's interesting to note that ratios like this are commonly used in various fields, such as in ecology to understand predator-prey relationships or even in marketing to analyze customer demographics. Knowing how to manipulate ratios can be both fun and useful in numerous real-world scenarios!
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