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1) 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.

Respuesta :

MrRoyal

Answer:

He'll remove all trays at every 60 minutes interval

Step-by-step explanation:

Given

[tex]Scones = 15\ minutes[/tex]

[tex]Muffins = 12\ minutes[/tex]

[tex]Cookies = 10\ minutes[/tex]

Required

At what time does he remove all trays together [Missing Part of question]

To get this, we simply calculate the LCM of the given parameters

[tex]LCM: 15\ 12\ and\ 20[/tex]

[tex]12 = 2 * 2 * 2 * 3[/tex]

[tex]15 = 3 * 5[/tex]

[tex]20 = 2 * 2 * 5[/tex]

[tex]LCM = 2 * 2 *3 * 5[/tex]

[tex]LCM = 60[/tex]

Hence, He'll remove all trays at every 60 minutes interval

i.e. 60, 120, 180.....

He will remove all trays at every 60 minutes interval.

Given that,

  • The scones bake for 15 minutes, the muffins bake  for 12 minutes, and the cookies bake for 10 minutes.
  • Here we need to find out how many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time.

Based on the above information, the calculation is as follows:

Here we have to determine the LCM of each number.

[tex]12 = 2 \times 2\times 2\times 3\\\\15 = 3\times5\\\\20 = 2\times 2\times 5[/tex]

Now the final LCM is

[tex]= 2\times 2\times 3\times 5[/tex]

= 60

Therefore we can conclude that He will remove all trays at every 60 minutes interval.

Learn more: brainly.com/question/16115373