14. You and your brother both work the 4:00 P.M. to midnight shift. You have every sixth night off. Your
brother has every tenth night off. Both of you were off on June 1. Your brother would like to see a movie
with you. When will the two of you have the same night off again?

Find the least common multiple of 6 and 10. The LCM of 6 and 10 is 30, meaning 30 days after June 1st, you and your brother will be off from work. Add the first day of June to an extra 30 days, that will leave you at July 1st.

June 1st + 30 days

July 1st

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14. You and your brother both work the 4:00 P.M. to midnight shift. You have every sixth night off. Your brother has every tenth night off. Both of you were off on June 1. Your brother would like to see a movie with you. When will the two of you have the same night off again?

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14. You and your brother both work the 4:00 P.M. to midnight shift. You have every sixth night off. Your
brother has every tenth night off. Both of you were off on June 1. Your brother would like to see a movie
with you. When will the two of you have the same night off again?