# math

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a clockmacker must wind his clocks on a regular schedule. he winds some of his clock every three days and the remainder of his clocks every five days. how often does he wind all of his clocks on the same day? I need help with that problem

• math -

What time span do you need?

1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31

1, 6, 11, 16, 21, 26, 31

If he winds them all on day 1, he'll wind them all again on day 16 and day 31.

• math -

So he winds "some" of his clocks on day
3,6,9,12,15,18,...
He winds the remainder of the clocks on day
5,10,15,20,...

mmmh?

• math -

thank you both so much. I feel positive about using this website again.

• math -

You're very welcome.

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