SOLUTION: Husband and wife are off the same day. The man works 5 days, has the 6th day off,the wife works 7 days has the 8th day off. When will they both by off the same day?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Husband and wife are off the same day. The man works 5 days, has the 6th day off,the wife works 7 days has the 8th day off. When will they both by off the same day?      Log On


   

Question 955824: Husband and wife are off the same day. The man works 5 days, has the 6th day off,the wife works 7 days has the 8th day off. When will they both by off the same day?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Husband has off every +6+ days
Wife has off every +8+days+
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+24+ is the smallest number divisible
by both +6+ and +8+, so
so, they will both have off every +24+ days
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check: every +6+ days:
(1) both have off today
(2) 6th day, H has off, W 2 days later
(3) 12th day, H has off, W 4 days later
(4) 18th day, H has off, W 6 days later
(5) 24th day, H has off, W has off