Question

1

Mrs. Johnson wants to give items to her afterschool group. She has 36 prizes and 24 ballons. What is the greatest number of children she can have in her group so that each child gets equal number of prizes, and an equal number of ballons?
2
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again. (Only write the minutes.)

Answer 1

1. 12 children

2. 72 minutes

Explanation:

1. Find the GCF of 36 and 24, which is 12

2. Find the LCM of 18 and 24, which is 72

Answer 2

1) 12

2) 72

Explanation:

1) The GCF of 36 and 24 is 12. So, each child would get 3 prizes and 2 balloons.

2) The LCM of 18 and 24 is 72. When the first radio station is playing the song for the fourth time, the second radio station will play the song for the third time. This will happen 72 minutes after they both play it for the first time.