how many numbers from 0 to 999 are not divisible by either 5 or 7............?

Question

owlfred · Answer

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dumbcow · Answer

20 are divisible by 5
14 are divisible by 7
leaving
100 - 20 -14 = 66
66 numbers not divisible by 5 or 7

anonymous · Answer

dumbcow, there are 1000 numbers from 0-999

dumbcow · Answer

haha oops didnt see enough 9's

dumbcow · Answer

then its
200 for 5
142 for 7
leaving 1000 -200-142 = 658
658 numbers

anonymous · Answer

@dumbcow: you have to consider the numbers that are divisible by both $5$ and $7$ and subtract them from the total.

dumbcow · Answer

wow, im  really off
ok like 35,70...
there are 28 numbers divisible by 35
658 - 28 = 630

anonymous · Answer

i think there are 143 divisible by 7.  7*142=994 and then 0 also

dumbcow · Answer

i meant 658 +28 = 686

anonymous · Answer

#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