Question
Mae used the rule "divide the length of wood by 3 to get the number of nails needed." If 3 nails are needed for a piece of wood that is 9 inches and 13 nails are needed for a piece of wood that is 39 inches, what is the length of wood that requires 7 nails? 18 inches 21 inches 24 inches 27 inches
Answers
GPT-4o mini
According to Mae's rule, the number of nails needed is calculated by dividing the length of the wood by 3.
Let's verify the calculations with the examples given:
1. For a piece of wood that is 9 inches:
\[
\text{Number of nails} = \frac{9 \text{ inches}}{3} = 3 \text{ nails}
\]
2. For a piece of wood that is 39 inches:
\[
\text{Number of nails} = \frac{39 \text{ inches}}{3} = 13 \text{ nails}
\]
Both calculations are consistent with Mae's rule.
Now, we need to find the length of wood that requires 7 nails:
\[
\text{Length of wood} = \text{Number of nails} \times 3 = 7 \times 3 = 21 \text{ inches}
\]
Thus, the length of wood that requires 7 nails is **21 inches**.
Let's verify the calculations with the examples given:
1. For a piece of wood that is 9 inches:
\[
\text{Number of nails} = \frac{9 \text{ inches}}{3} = 3 \text{ nails}
\]
2. For a piece of wood that is 39 inches:
\[
\text{Number of nails} = \frac{39 \text{ inches}}{3} = 13 \text{ nails}
\]
Both calculations are consistent with Mae's rule.
Now, we need to find the length of wood that requires 7 nails:
\[
\text{Length of wood} = \text{Number of nails} \times 3 = 7 \times 3 = 21 \text{ inches}
\]
Thus, the length of wood that requires 7 nails is **21 inches**.