anonymous
  • anonymous
how many numbers from 0 to 999 are not divisible by either 5 or 7............?
Mathematics
katieb
  • katieb
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Owlfred
  • Owlfred
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dumbcow
  • dumbcow
20 are divisible by 5 14 are divisible by 7 leaving 100 - 20 -14 = 66 66 numbers not divisible by 5 or 7
anonymous
  • anonymous
dumbcow, there are 1000 numbers from 0-999

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dumbcow
  • dumbcow
haha oops didnt see enough 9's
dumbcow
  • dumbcow
then its 200 for 5 142 for 7 leaving 1000 -200-142 = 658 658 numbers
anonymous
  • anonymous
@dumbcow: you have to consider the numbers that are divisible by both \(5\) and \(7\) and subtract them from the total.
dumbcow
  • dumbcow
wow, im really off ok like 35,70... there are 28 numbers divisible by 35 658 - 28 = 630
anonymous
  • anonymous
i think there are 143 divisible by 7. 7*142=994 and then 0 also
dumbcow
  • dumbcow
i meant 658 +28 = 686
anonymous
  • anonymous
#s divisible by 5=200 #s divisible by 7=143 #divisible by 7 and 5=29 So the number of numbers in [0,999] that are not divisible by 5 or 7 is 1000-200-143+29=686

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