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 day, the factory made 1,900 gold widgets and 4,680 red widgets. It takes 40 minutes to produce a batch of gold widgets and 26 minutes to produce a batch of red widgets. 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. F. 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.
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 day, the factory made 1,900 gold widgets and 4,680 red widgets. It takes 40 minutes to produce a batch of gold widgets and 26 minutes to produce a batch of red widgets.
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.
F. 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.
1. Explain why the final answer is a greatest common divisor, least common multiple, or neither.
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