Question

The school cafeteria serves pizza every sixth day and applesauce every eighth day.suppose that pizza and applesauce are both on today's menu.In how many days will they be together on a menu again?

Answer 1

To determine how many days pizza and applesauce will be together on the menu again, we need to find the least common multiple (LCM) of 6 and 8. The LCM is the smallest number that both 6 and 8 divide into evenly. The LCM of 6 and 8 is 24.

Step-by-step explanation:

To determine how many days pizza and applesauce will be together on the menu again, we need to find the least common multiple (LCM) of 6 and 8. The LCM is the smallest number that both 6 and 8 divide into evenly. We can find the LCM by listing the multiples of each number and finding the first common multiple.

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48...

Multiples of 8: 8, 16, 24, 32, 40, 48...

The first common multiple is 24, so pizza and applesauce will be together on the menu again in 24 days.

Answer 2

Least common multiple

First factor each

6=2*3

8=2*2*2*2=3*8=24