To find the number of days when both the trash and recycling will be picked up on the same day, we need to find the least common multiple (LCM) of 7 and 12.
List the multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...
List the multiples of 12: 12, 24, 36, 48, 60, 72, ...
The first common multiple is 28 (which is a multiple of both 7 and 12), so they will be picked up on the same day after 28 days.
Therefore, both the trash and recycling will be picked up on the same day after 28 days.
a neighborhood trash pickup comes every 7 days while the recycling pickup is every 12 days after how many days will both the trash and recycling be picked up on the same day
1 answer
1 answer