Final answer:
The dressmaker, starting with a length of 600 cm rounded to the nearest 5 meters, cuts it into 1-meter lengths, resulting in a maximum of 5 complete dress lengths. Option c) 120 is incorrect as it exceeds the possible complete dress lengths based on the given conditions.Thus the correct option is: c) 120
Step-by-step explanation:
The dressmaker starts with a length of 600 cm, correct to the nearest 5 meters. To convert this to meters, we divide 600 cm by 100, resulting in 6 meters. However, since the length is correct to the nearest 5 meters, we round 6 meters to the nearest 5 meters, giving us 5 meters. Now, the dressmaker cuts this into dress lengths of 1 meter, correct to the nearest meter. Therefore, the maximum number of complete dress lengths is 5.
To elaborate, the dressmaker's initial length of 600 cm translates to 6 meters, but due to rounding to the nearest 5 meters, it becomes 5 meters. When cutting into 1-meter lengths, the maximum number of complete dress lengths is 5.
This is because the original length of 5 meters is evenly divisible by 1 meter, resulting in 5 complete dress lengths. Thus, option c) 120 is incorrect, as it exceeds the maximum possible complete dress lengths. The correct answer is 5, as explained by the rounding and division of the initial length.Thus the correct option is: c) 120