atrtie and Billy both shop at the same local grocery store between 5 and 6 in the evening.The last time they saw each other was on Tuesday.Artie shops every five days and Billy shops every days.What day of the week will they next run into each other, assuming that the store is open 7 days a week?

Question

atrtie and Billy both shop at the same local grocery store between 5 and 6 in the evening.The last time they saw each other was on Tuesday.Artie shops every five days and Billy shops every days.What day of the week will they next run into each other, assuming that the store is open 7 days a week?

Answer 1

Billy shops every how many days? You left out an important piece of information.

Answer 2

To determine when Artie and Billy will next run into each other, we need to find the least common multiple (LCM) of their shopping frequency.

Artie shops every 5 days, so we can list the days he shops as follows:
Tuesday, Sunday, Friday, Wednesday, Monday, Saturday, etc.

Billy shops every day, so we can list the days he shops as:
Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday, Monday, etc.

To find the LCM, we look for the first common day they shop. In this case, it is Friday. Therefore, they will next run into each other on a Friday.

So, the answer is: They will next run into each other on a Friday.