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 10 of these rolls of ribbon?
Answers
GPT-4o mini
To determine how many 4-inch pieces of ribbon the dressmaker can cut from 10 rolls of ribbon, we first need to convert the length of each roll from feet to inches.
Each roll of ribbon is 12 feet long. Since there are 12 inches in a foot:
\[
12\text{ feet} \times 12\text{ inches/foot} = 144\text{ inches}
\]
Now, we find out how many 4-inch pieces can be obtained from one roll of ribbon that is 144 inches long. We do this by dividing the total length of the ribbon by the length of each piece:
\[
\frac{144\text{ inches}}{4\text{ inches/piece}} = 36\text{ pieces}
\]
Now, since the dressmaker has 10 rolls of ribbon, we can calculate the total number of 4-inch pieces from all the rolls:
\[
36\text{ pieces/roll} \times 10\text{ rolls} = 360\text{ pieces}
\]
Thus, the total number of 4-inch pieces of ribbon that can be cut from 10 rolls is
\[
\boxed{360}
\]
Each roll of ribbon is 12 feet long. Since there are 12 inches in a foot:
\[
12\text{ feet} \times 12\text{ inches/foot} = 144\text{ inches}
\]
Now, we find out how many 4-inch pieces can be obtained from one roll of ribbon that is 144 inches long. We do this by dividing the total length of the ribbon by the length of each piece:
\[
\frac{144\text{ inches}}{4\text{ inches/piece}} = 36\text{ pieces}
\]
Now, since the dressmaker has 10 rolls of ribbon, we can calculate the total number of 4-inch pieces from all the rolls:
\[
36\text{ pieces/roll} \times 10\text{ rolls} = 360\text{ pieces}
\]
Thus, the total number of 4-inch pieces of ribbon that can be cut from 10 rolls is
\[
\boxed{360}
\]