Story problem:There is a factory that makes widgets in different colors. The production time for each color is different. At the end of each day, all the widgets produced that day are placed in boxes. On a certain dat, the factory made 1,485 orange widgets and 5,400 silver widgets. It takes 15 minutes to produce a batch of orange widgets and 40 minutes to produce a batch of silver widgets. Part 1: Question: Determine the largest number of widgets that can be placed in each box if it is required that all boxes contain the same number of widgets and each box contains only one color. Explain the steps and problem-solving strategy used to determine the answer. 1. Explain why the final answer is a greatest common divisor, least common multiple, or neither. . Part 2: Determine the answer to the following question: “In a factory, if both colors of widgets start production at the same time and run continuously, after how many minutes will their starting time align again?” Explain the steps and problem-solving strategy used to determine the answer. A. Explain why the final answer is a greatest common divisor, least common multiple, or neither.
Story problem:There is a factory that makes widgets in different colors. The production time for each color is different. At the end of each day, all the widgets produced that day are placed in boxes. On a certain dat, the factory made 1,485 orange widgets and 5,400 silver widgets. It takes 15 minutes to produce a batch of orange widgets and 40 minutes to produce a batch of silver widgets.
Part 1:
Question: Determine the largest number of widgets that can be placed in each box if it is required that all boxes contain the same number of widgets and each box contains only one color. Explain the steps and problem-solving strategy used to determine the answer.
1. Explain why the final answer is a greatest common divisor, least common multiple, or neither. .
Part 2: Determine the answer to the following question: “In a factory, if both colors of widgets start production at the same time and run continuously, after how many minutes will their starting time align again?” Explain the steps and problem-solving strategy used to determine the answer.
A. Explain why the final answer is a greatest common divisor, least common multiple, or neither.
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