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Answer :
To find the time when Kaylan can remove scones, muffins, and cookies from the oven at the same time, we determine the least common multiple of their baking times (15, 12, 10), which is 60 minutes.
The student is asking how many minutes it will take for Kaylan to first remove a tray of scones, muffins, and cookies from the oven at the same time if they have different baking times (15 minutes for scones, 12 minutes for muffins, and 10 minutes for cookies). To solve this, we need to find a common multiple of the baking times, which is the least time when all three types of baked goods can be taken out simultaneously. We'll look for the Least Common Multiple (LCM) of 15, 12, and 10.
By listing the multiples of each baking time:
- Scones: 15, 30, 45, 60, ...
- Muffins: 12, 24, 36, 48, 60, ...
- Cookies: 10, 20, 30, 40, 50, 60, ...
We find that the LCM of 15, 12, and 10 is 60. Therefore, Kaylan will first be able to remove all three trays at the same time after 60 minutes.
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Rewritten by : Jeany
