4. Kristina is allowed to have a friend sleep over every 3rd weekend,

while Danielle may have a friend sleep over every 2nd weekend.

How many weekends will pass before they can both have someone

over on the same night?

6

Step-by-step explanation:

You must find the least common multiple of their schedules.

The numbers 3 and 2 are their own prime factors, so the least common multiple of 3 and 2 is 6.

Six weekends must pass until they can both have someone over on the same night.

The number line below shows that the first time their sleepovers coincide is Week 6.