Letitia Brianne and Jake met at the mall on December 31

Last updated: 6/17/2023

Letitia Brianne and Jake met at the mall on December 31 Letitia said that she intends to come to the mall every third day throughout the next year Brianne said that she intends to be there every fourth day and Jake said that he would be there every seventh day Letitia said that she knew she would be at the mall a total of 121 days since 365 3 is 121 with a remainder of 2 Brianne said that she d be at the mall 91 days since 365 4 is 91 with a remainder of 1 Moreover Brianne said that of those 91 days she would expect to see Letitia 30 times since they will both be coming every 12 days and 365 12 is 30 with a remainder of 5 Complete parts a through d below a How many days will all three friends meet at the mall in the next year There will be 4 day s when all three meet b Use reasoning similar to that of Letitia and Brianne to construct a three loop Venn diagram that shows the number of times the three friends go to the mall in all of the possible combinations O A B OC OD L 78 157 13 J 26 4 26 9 52 B 121 365 30 91 1760 J 52 13 B L B 3 12 4 39 84 21 28 7 206 82 365 12 21 28 30 56 B