The number of weeks when both Michelle and Zuri would both have their hair done again on the same day is 6 weeks.
In order to determine when they would both have their hair done on the same day, the common multiple of 8 and 5 has to be determined.
A multiple of a number is the product of an integer and that number.
Multiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Multiple of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Common multiple = 40
Number of weeks = 40 / 7 = 5.71 = 6 weeks
To learn more about multiples, please check: https://brainly.com/question/26030133