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A garbage truck picks up trash items every 6 days. Another truck picks up
recycling items every 8 days. Today, both trucks picked up items. In how
many days will both trucks again pick up items on the same day?

Respuesta :

bambooclimber

This is a least common multiple or LCM question. I would make a chart with the multiples of 6 and 8 to see when they are the same digit.

The multiples of 6 to start are 6,12,18,24, and 30.

The multiples of 8 to start are 8,16,24,32, and 40.

You can already see that they have 24 as a common multiple, so the answer is that they will pick up trash on the same day in 24 more days. I hope this helps.

The trucks would pick up items on the same day on the 24th day.

Definition of a multiple

A multiple of a number is the product of an integer and that number. For example, a multiple of 2 is 10. This because 2 multiplied by 5 is 10.

Determination of when the trucks would pick up on the same day.

The trucks would pick up on the same day when the multiple of 6 and 8 are equal.

  • First ten multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  • First ten multiples of 8 =  8, 16, 24, 32, 40, 48, 56, 64, 72, 80
  • First common multiple = 24

To learn more about multiples, please check: https://brainly.com/question/26030133