Question 205237: How many integers between 1 and 10 are multiples of either 3 or 5 but not multiples of both?
Found 2 solutions by solver91311, MathTherapy:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
In the first place, none of the integers between 1 and 10 are multiples of both 3 and 5. In order for an integer to be a multiple of 3 and 5, it has to be at least 15, because 3 times 5 is 15. There are 3 integers between 1 and 10 that are multiples of 3, namely 3, 6, and 9. As to the number of multiples of 5 in that range, there are either 1 or 2. It depends on whether the given range is inclusive of the endpoints. The question here is: Does "between 1 and 10" mean 2 through 9 or 1 through 10. So your answer is either 4 or 5 depending on the actual definition of the range.
John
Answer by MathTherapy(10551)  (Show Source):
You can put this solution on YOUR website! Since you're looking for multiples of 3 or 5, but not both, and since they have to be BETWEEN 1 and 10, we can see that these are:
3, 6, 9 (multiples of 3)
and
5 (only multiple of 5 between 1 and 10)
Therefore, there are  such multiples
|
|
|
