Final answer:
The dressmaker can cut a total of 270 pieces of 6-inch ribbon from 15 rolls, with each roll being 9 feet in length.
Step-by-step explanation:
The dressmaker needs to calculate how many 6-inch pieces of ribbon can be cut from 15 rolls of ribbon that are 9 feet in length each. First, we need to convert the length of the ribbon from feet to inches to match the 6-inch piece requirement. There are 12 inches in a foot, so each 9-foot roll contains 9 × 12 = 108 inches of ribbon.
Next, we divide the total inches of ribbon per roll by the length of each piece to calculate how many pieces can be cut from one roll: 108 inches ÷ 6 inches = 18 pieces per roll.
Since there are 15 rolls, the dressmaker can cut a total of 15 rolls × 18 pieces per roll = 270 pieces of 6-inch ribbon from the 15 rolls.