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?

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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.
Joel is 57 inches tall.

Joel is inches shorter than Carlos.
Carlos is inches taller than Dan.
If Dan is inches tall, how many inches
tall is Joel?

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Joel is inches shorter than Carlos. Carlos is inches taller than Dan. If Dan is inches tall, how many inches tall is Joel?