SOLUTION: How many integers between 1 and 200 are multiples of both 3 and 5 but not of either 4 or 7?

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Question 539852: How many integers between 1 and 200 are multiples of both 3 and 5 but not of either 4 or 7?
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
use the 3 trick when counting with 5s starting at 15 1+5=6 so its divisible by 3
15,30,45,60,75,90,105,120,135,150,165,180,195
above are the possibilities for 3 n 5 but some are divisible by 4 and 7 so go through and knock those out
15,30,45,,75,90,,,135,150,165,,195

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