Juanita runs every seventh day and swims every fifth day. If Juanita runs and swims today, in how many days will she run and swim again on the same day?
What is the least common multiple of 5 and 7?
35?
Right. In 35 days, she'll run and swim on the same day.
ok, thank you so much!! :)
You're very welcome. :-)
To find out when Juanita will run and swim again on the same day, we need to find the least common multiple (LCM) of 7 days and 5 days.
The LCM is the smallest number that both 7 and 5 divide evenly into. To find the LCM, we can list out the multiples of each number and find the smallest common multiple.
For 7, the multiples are: 7, 14, 21, 28, 35, 42, 49, 56, 63,...
For 5, the multiples are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65,...
From the multiples listed above, we can see that the smallest number that both 7 and 5 divide evenly into is 35. Therefore, Juanita will run and swim again on the same day in 35 days.