Question
Samantha has four rolls of ribbon. Each roll is 30 yards long. She needs to cut pieces that are
18 inches long. What is the greatest number of 18-inch pieces that she can cut from all the
ribbon?
18 inches long. What is the greatest number of 18-inch pieces that she can cut from all the
ribbon?
Answers
GPT-4o mini
To calculate the total number of 18-inch pieces that Samantha can cut from her four rolls of ribbon, we first need to convert the total length of the ribbon from yards to inches.
Each roll of ribbon is 30 yards long. Since there are four rolls, the total length in yards is:
\[
4 \text{ rolls} \times 30 \text{ yards/roll} = 120 \text{ yards}
\]
Next, we convert yards to inches. There are 36 inches in a yard, so:
\[
120 \text{ yards} \times 36 \text{ inches/yard} = 4320 \text{ inches}
\]
Now, we will determine how many 18-inch pieces can be cut from the total length of 4320 inches. We do this by dividing the total length in inches by the length of each piece:
\[
\frac{4320 \text{ inches}}{18 \text{ inches/piece}} = 240 \text{ pieces}
\]
Thus, the greatest number of 18-inch pieces that Samantha can cut from all the ribbon is:
\[
\boxed{240}
\]
Each roll of ribbon is 30 yards long. Since there are four rolls, the total length in yards is:
\[
4 \text{ rolls} \times 30 \text{ yards/roll} = 120 \text{ yards}
\]
Next, we convert yards to inches. There are 36 inches in a yard, so:
\[
120 \text{ yards} \times 36 \text{ inches/yard} = 4320 \text{ inches}
\]
Now, we will determine how many 18-inch pieces can be cut from the total length of 4320 inches. We do this by dividing the total length in inches by the length of each piece:
\[
\frac{4320 \text{ inches}}{18 \text{ inches/piece}} = 240 \text{ pieces}
\]
Thus, the greatest number of 18-inch pieces that Samantha can cut from all the ribbon is:
\[
\boxed{240}
\]