SOLUTION: How many positive integers less than or equal to 100 are multiples of 3 or multiples of 5 or multiples of both 3 and 5?

Question 1009572: How many positive integers less than or equal to 100 are multiples of 3 or multiples of 5 or multiples of both 3 and 5?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
, so there are integers less than or equal to 100 that are multiples of 3.
They are
, , , , , and .

, so there are integers less than or equal to 100 that are multiples of 5.
They are
, , , , , and .
Of those , there are some that are multiples of both 3 and 5,
and they are counted twice in the multiples of 3 or multiples of 5 listed above.

Positive integers that are multiples of both 3 and 5, are multiples of .
, so there are integers less than or equal to 100 that are multiples of 15 (multiples of both 3 and 5).
They are
, , , , , and .

The number of positive integers less than or equal to 100 that are
multiples of 3 or multiples of 5 or multiples of both 3 and 5 is
.
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