203k views
3 votes
Mike practices the cello every 5 days and the piano every 13 days. Mike practiced both the cello and the piano today. How many days will pass before Mike practices both the cello and piano again on the same day?

. Wanda has 8 bananas, 20 oranges, and 12 apples. She wants to put an equal amount of each type of fruit into baskets. What is the greatest number of baskets Wanda can use?

User Bdetweiler
by
7.4k points

1 Answer

3 votes

Final answer:

Mike will practice both the cello and piano on the same day again in 65 days. Wanda can use 4 baskets.

Step-by-step explanation:

To determine how many days will pass before Mike practices both the cello and piano on the same day again, we need to find the least common multiple (LCM) of 5 and 13. The LCM of 5 and 13 is 65. So, Mike will practice both instruments on the same day again in 65 days.

Wanda wants to put an equal amount of each type of fruit into baskets. To find the greatest number of baskets she can use, we need to find the greatest common divisor (GCD) of 8, 20, and 12. The GCD of 8, 20, and 12 is 4. So, Wanda can use 4 baskets.

User Vishal Ghosh
by
7.9k points