If 26 tapered pins can be machined from a steel rod 13 ft​ long, how many tapered pins can be made from a steel rod 8 ft​ long?
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enter your response here tapered pins can be made from a steel rod 8 ft long.
​(Type a whole​ number.)

To determine how many tapered pins can be made from a steel rod that is 8 feet long, we can set up a proportion based on the given information.

The problem states that 26 tapered pins can be machined from a 13-foot long steel rod. So, the ratio of pins to length is:

\[
\frac{26 \text{ pins}}{13 \text{ feet}} = \frac{x \text{ pins}}{8 \text{ feet}}
\]

Now, solve for \( x \), the number of pins that can be made from an 8-foot rod, by cross-multiplying:

\[
26 \times 8 = 13 \times x
\]

\[
208 = 13x
\]

Now, divide both sides by 13:

\[
x = \frac{208}{13} = 16
\]

Thus, 16 tapered pins can be made from a steel rod 8 feet long.

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Here are some related questions:
1. If 40 pins can be machined from a rod, what is the length of the rod?
2. How many pins can be made from a 15 ft long rod, using the same ratio?
3. If 20 tapered pins are machined from a rod, how long was the rod?
4. If the rod is 10 ft long, how many pins can be made?
5. What is the minimum length of a rod needed to make 50 pins?

**Tip:** When dealing with ratios, setting up a proportion allows you to easily find unknown quantities by solving a simple equation.

If 26 tapered pins can be machined from a steel rod 13 ft long, how many tapered pins can be made from a steel rod 8 ft long?

Find out how many tapered pins can be machined from an 8-foot long steel rod using proportions. This step-by-step solution explains the relationship between the number of pins and rod length, based on the fact that 26 pins can be made from a 13 ft rod. Suitable for students in Grades 6-8.

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