Jerry plays tennis once every 6 days. Sam plays tennis every 10 days and Leo comes once every 12 days. This Monday all of them played. How many days after this Monday will all of them meet at the tennis court again?

Respuesta :

Answer:

They'll meet at the court again in 60 days after this monday.

Step-by-step explanation:

In order to calculate the number of days from monday that it will take for them to meet again, we need to calculate the LMC of the frequency at which they go to the court. To do that we must take the numbers and divide the 3 of them until they're all equal to 1, then we multiply all the numbers that were used to divide them.

12 | 10 | 6    / 2

6 | 5 | 3      /2

3 | 5 | 3      /3

1 | 5 | 1       /5

1 | 1 | 1

The LMC is equalt o 2*2*3*5 which is 60.

They'll meet at the court again in 60 days after this monday.

       

The total number of days after this Monday will all of them meet at the tennis court again is 60 and this can be determined by taking the LCM of the given frequency.

Given :

  • Jerry plays tennis once every 6 days.
  • Sam plays tennis every 10 days and Leo comes once every 12 days.
  • This Monday all of them played.

The following steps can be used in order to determine the total number of days after this Monday will all of them meet at the tennis court again:

Step 1 - The arithmetic operations in order to determine the total number of days after this Monday will all of them meet at the tennis court again.

Step 2 - Take the LCM of the given frequency.

Step 3 - Now, let the LCM of the given frequency is equal to 'x'. So, the value of 'x' is:

[tex]x = 2 \times 2 \times 3 \times 5[/tex]

[tex]x = 60[/tex]

So, the total number of days after this Monday will all of them meet at the tennis court again is 60.

For more information, refer to the link given below:

https://brainly.com/question/1030530