Pregunta
10. Joel is \( 2 \frac{1}{2} \) inches shorter than Carlos. Carlos is \( 1 \frac{1}{4} \) inches taller than Dan. If Dan is \( 58 \frac{1}{4} \) inches tall, how many inches tall is Joel?
Ask by Barker Coleman. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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Joel is 57 inches tall.
Solución
To determine Joel's height, let's follow the steps based on the information provided:
1. **Dan's Height:**
- Dan is \( 58 \frac{1}{4} \) inches tall.
2. **Carlos's Height:**
- Carlos is \( 1 \frac{1}{4} \) inches taller than Dan.
- So, Carlos's height \( C \) is:
\[
C = 58 \frac{1}{4} + 1 \frac{1}{4} = 59 \frac{2}{4} = 59 \frac{1}{2} \text{ inches}
\]
3. **Joel's Height:**
- Joel is \( 2 \frac{1}{2} \) inches shorter than Carlos.
- So, Joel's height \( J \) is:
\[
J = 59 \frac{1}{2} - 2 \frac{1}{2} = 57 \text{ inches}
\]
**Answer:** Joel is **57 inches** tall.
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Simplifique esta solución Beyond the Answer
To find how tall Joel is, we first need to determine Carlos's height. Since Carlos is \( 1 \frac{1}{4} \) inches taller than Dan, we add that to Dan's height: Dan's height: \( 58 \frac{1}{4} \) inches Carlos's height: \( 58 \frac{1}{4} + 1 \frac{1}{4} = 59 \frac{1}{2} \) inches. Now that we know Carlos's height, we can find Joel's height. Since Joel is \( 2 \frac{1}{2} \) inches shorter than Carlos, we subtract that from Carlos's height: Carlos's height: \( 59 \frac{1}{2} \) inches Joel's height: \( 59 \frac{1}{2} - 2 \frac{1}{2} = 57 \) inches. So, Joel is \( 57 \) inches tall.
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