Question

Gabriella volunteers at the hospital every 4th day. She volunteers at the food pantry every 6th day. She volunteered at the hospital and food pantry both on March 31st. On what date will she next volunteer at both?

Answer 1

Gabriella volunteers at the hospital and the food pantry on common days based on the Least Common Multiple (LCM) of 4 and 6, which is 12. Counting 12 days from March 31st gives us April 12th as the next date she will volunteer at both places.

Step-by-step explanation:

The question involves finding a common multiple of two numbers, specifically the days Gabriella volunteers at two different places. Gabriella volunteers at the hospital every 4th day and at the food pantry every 6th day. She volunteered at both places on March 31st, which means we are looking for the Least Common Multiple (LCM) of 4 and 6 to determine the frequency at which the cycle repeats.

First, we list the multiples of each number:

The smallest common multiple of 4 and 6 is 12, indicating that Gabriella volunteers at both the hospital and the food pantry every 12th day.

Starting from March 31st, we count forward 12 days, which takes us to April 12th, assuming that there are no leap years involved in this period.

Therefore, Gabriella will next volunteer at both the hospital and the food pantry on April 12th.