How many integers between I and 100 are divisible by 3 but not by 5?

To find how many integers between 1 and 100 are divisible by 3 but not by 5, you can use the following steps:

Find the number of integers divisible by 3 in the range 1 to 100: Divisible by 3 = (100 / 3) = 33 integers

Find the number of integers divisible by both 3 and 5 (i.e., divisible by 15) in the range 1 to 100: Divisible by 15 = (100 / 15) = 6 integers

Subtract the number of integers divisible by both 3 and 5 from the total number divisible by 3 to get the number divisible by 3 but not by 5: Divisible by 3 but not by 5 = 33 - 6 = 27 integers

So, there are 27 integers between 1 and 100 that are divisible by 3 but not by 5. The correct answer is 27.