To solve this problem, we need to determine how many pieces a tailor can make from a given length of cloth. Let's break it down step-by-step:
- We are given that \(37.5 \, \text{m}\) of cloth is available.
- It is essential to note that, for every \(3 \, \text{m}\) of cloth, the tailor can make \(8\) pieces.
The first task is to find out how many pieces can be made from \(1 \, \text{m}\) of cloth:
Each \(3 \, \text{m}\) gives \(8\) pieces, so each \(1 \, \text{m}\) gives:
| \(\frac{8}{3}\) pieces per meter |
Next, calculate how many pieces can be made from \(37.5 \, \text{m}\) of cloth using:
| Total pieces = \(37.5 \times \frac{8}{3}\) |
Carrying out this multiplication:
\(37.5 \times \frac{8}{3} = \frac{300}{3} = 100\)
Thus, the tailor can make \(100\) pieces from \(37.5 \, \text{m}\) of cloth.
Therefore, the correct answer is 100.
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