Question

Bo and Tasha are the captains of recycling teams in the Recycling Club at school. Bo's team empties the paper bins every 6 days. Tasha's team empties the plastic bins every 8 days. If both teams emptied their bins today, after how many days will both teams empty their bins on the same day again?

Answer 1

Bo and Tasha are the captains of recycling teams in the Recycling Club at school, Bo and Tasha's teams will empty their bins on the same day again after 24 days.

Step-by-step explanation:

To find out when Bo and Tasha's teams will empty their bins on the same day again, we need to find the least common multiple (LCM) of 6 and 8.

LCM is the smallest multiple that both numbers have in common.

To find the LCM, we can list the multiples of both numbers:

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

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

We can see that 24 is the smallest multiple that both numbers have in common.

So therefore, Bo and Tasha's teams will empty their bins on the same day again after 24 days.