High School

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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 25 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 Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time?

Answer :

The number of minutes after Cayaln puts the trays in the oven will he first remove the scones, muffins, and cookie at the same time is 300 minutes

What is the number of minutes Cayal removes the scones, muffins, and cookie at the same time?

  • Scones = 25 minutes
  • Muffins = 12 minutes
  • Cookie = 10 minutes

Find the least common multiple of 25, 12 and 10 minutes

  • 25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300

  • 12 = 12, 24, 36, 48, 60, 72, 84, 96, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300

  • 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300

The least common multiple of of 25, 12 and 10 minutes is 300 minutes.

Therefore, the number of minutes Cayal removes the scones, muffins, and cookie at the same time is 300 minutes

Read more on least common multiple:

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