Lewis Warner
07/18/2024 · Middle School
()) Taylor County and Howard County are gathering groups of runners to run a relay race. Taylor County recruits runners in groups of 8 while Howard County recruits runners in groups of 2 . If both counties end up with the same number of runners, what is the smallest number of runners each must have recruited? (1))
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Step-by-step Solution
To find the smallest number of runners each county must have recruited, we need to find the least common multiple (LCM) of 8 and 2.
The LCM of 8 and 2 is 8, as 8 is the smallest number that is divisible by both 8 and 2.
Therefore, the smallest number of runners each county must have recruited is 8.
Quick Answer
The smallest number of runners each county must have recruited is 8.
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