The school cafeteria serves pizza every sixth day and applesauce every eighth day. If pizza and applesauce are both on today's menu, in how many...

To solve, let's apply the least common multiple (LCM) of a set of numbers.

Pizza is served every sixth day. To get the days in which it will be served, take the multiples of 6.

The multiples of 6 are:

6, 12, 18, 24, 30, ... 6n

So pizza will be served on day 6, day 12, day 18, day 24, day 30 until day 6n.

Applesauce is served every 8th day. To get the...

To solve, let's apply the least common multiple (LCM) of a set of numbers.

Pizza is served every sixth day. To get the days in which it will be served, take the multiples of 6.

The multiples of 6 are:

6, 12, 18, 24, 30, ... 6n

So pizza will be served on day 6, day 12, day 18, day 24, day 30 until day 6n.

Applesauce is served every 8th day. To get the days in which it will be served, take the multiples of 8.

8, 16, 24, 32, 40, ... 8n

So applesauce will be served on day 8, day 16, day 24, day 32, day 40 until day 8n.

Base on the list above, the LCM of 6 and 8 is 24.

Therefore, the pizza and apple sauce are served together every 24th day.