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Answer :
Final answer:
Caylan will first remove the scones, muffins, and cookies all at the same time after 60 minutes, which is the least common multiple of their individual baking times.
Explanation:
Caylan places a tray of scones, muffins, and cookies in the oven with different baking times. To find out after how many minutes Caylan will first remove all three baked goods at the same time, one needs to calculate when these baking times will coincide. The least common multiple (LCM) of the baking times will give us this point in time. The baking times are 15 minutes for scones, 12 minutes for muffins, and 10 minutes for cookies.
To find the LCM, we can list the multiples of the baking times:
- Scones: 15, 30, 45, 60, 75...
- Muffins: 12, 24, 36, 48, 60...
- Cookies: 10, 20, 30, 40, 50, 60...
We see that the smallest common multiple is 60 minutes. Therefore, after exactly 60 minutes, Caylan will be able to remove all three types of baked goods simultaneously for the first time.
Learn more about Least Common Multiple here:
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Most probably, your complete question is this:
Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item.
How many minutes after kaylin puts the tray in the oven while he first removed the scones muffins and cookies at the same time?
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