https://file.aiquickdraw.com/mathbot/file/1729119098857ppc44dx5.jpg

Let's break down the problem step by step:

1. **Wall length**: 17.5 yards.
2. **Stud spacing**: Every 15 inches.
3. **First stud placement**: One stud is already placed at the beginning of the wall.

### Convert yards to inches:
We know that 1 yard = 36 inches, so:
\[
17.5 \text{ yards} = 17.5 \times 36 = 630 \text{ inches}
\]
The total length of the wall is 630 inches.

### Number of studs needed:
The worker needs to place a stud every 15 inches. We need to calculate how many intervals of 15 inches fit into 630 inches. To do this, divide the length of the wall by the spacing between the studs:
\[
\frac{630}{15} = 42
\]
Thus, there are 42 positions along the wall, including the first and last studs.

### Additional studs needed:
Since the first stud is already placed, the number of **additional** studs is \( 42 - 1 = 41 \).

So, **41 additional studs** are needed.

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Would you like further details or clarifications?

Here are 5 related questions to explore:
1. How would the number of studs change if the spacing were increased to 20 inches?
2. How many studs would be needed for a wall that is 25 yards long with the same 15-inch spacing?
3. What would happen if the wall were built in meters instead of yards?
4. How many total studs would be required for two walls of the same length?
5. How would the calculation change if a stud were placed every 12 inches instead of 15 inches?

**Tip**: When dealing with unit conversions, always remember to check for consistency in units before performing calculations!

A construction worker is building a wall. The wall is 17.5 yd long. He needs to place a stud every 15 in. The first stud has already been placed at one end of the wall. How many additional studs are needed, if the last stud will be placed at the other end of the wall?

Find out how many additional studs are needed when building a 17.5-yard wall with studs placed every 15 inches. This problem involves unit conversion and simple division, suitable for students in Grades 6-8.

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