Question

A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 12 feet in length. How many 4-inch pieces can the dressmaker cut from 1010 of these rolls of ribbon?

Answer 1

To determine how many 4-inch pieces can be cut from 1010 rolls of ribbon that are each 12 feet long, we first need to convert the length of each roll from feet to inches, since the pieces we want to cut are measured in inches.

1. **Convert feet to inches:**
\[
1 \text{ foot} = 12 \text{ inches}
\]
Therefore, a 12-foot roll is:
\[
12 \text{ feet} \times 12 \text{ inches/foot} = 144 \text{ inches}
\]

2. **Determine how many 4-inch pieces can be cut from one 12-foot roll:**
To find this, we divide the total length of the roll in inches by the length of each piece.
\[
\frac{144 \text{ inches}}{4 \text{ inches/piece}} = 36 \text{ pieces}
\]

3. **Calculate the total number of pieces from 1010 rolls:**
Now, multiply the number of pieces from one roll by the total number of rolls.
\[
36 \text{ pieces/roll} \times 1010 \text{ rolls} = 36360 \text{ pieces}
\]

Thus, the total number of 4-inch pieces the dressmaker can cut from 1010 rolls of ribbon is \(\boxed{36360}\).