Belinda babysits her neighborhood's children in the evening every 14 days. belinda goes to vist her grandmother in the afternoon every 21 days. belinda has both activitives planned for today. will belinda have bith activitives again on the same day within 30 days? explain your answer.

No

Step-by-step explanation:

Belinda babysits her neighborhood's children in the evening every 14 days. Belinda goes to visit her grandmother in the afternoon every 21 days.

If Belinda has both activities planned for today.

The next time Belinda will have both activities on the same day is determined by the Lowest Common Multiples of 21 and 14.

Express each number as a product of its prime factors

21=3 X 7

14 =2 X 7

L.C.M = 2 X 3 X 7 =42

The next time she will have both activities on the same day is 42 days from today. So both activities occurring 30 days from now is impossible.