Question

use the lists of multiples to answer the problem.
multiples of 8: 8, 16, 24, 32, 40, ...
multiples of 12: 12, 24, 36, 48, 60, ...

a baker is baking muffins and cookies for a big event. the baker places a tray of cookies and a tray of muffins in the oven. the cookies bake for 8 minutes, and the muffins bake for 12 minutes. when they are done, the baker removes the tray and replaces it with another tray of the same item.

how many minutes will pass until the baker first needs to remove the cookies and the muffins at the same time?

minutes

Explanation:

Identify the given values and target

We need to find when both trays are removed together.
Cookies take 8 minutes. Muffins take 12 minutes.

Find the common multiples

Using the Common Multiples knowledge point

$$
LATEXBLOCK0
$$

Determine the least common multiple

Using the Least Common Multiple knowledge point

$$ \text{LCM}(8, 12) = 24 $$

Answer:

How many minutes will pass until the baker first needs to remove the cookies and the muffins at the same time?
<blank>24</blank> minutes