Carl has a soccer game every 4th day, Matt has one every 5th day. When will they have a game on the
same day?
Just giving you the answer serves no purpose since you are learning nothing from that. This can be seen by your repeatedly asking the same type of question.
Reasoning this way:
Carl has soccer on day 4, 8, 12, 16, 20, ....
Matt has soccer on day 5, 10, 15, ....
So what do you think??
Isn't this the akin to finding the LCM of 4 and 5 ?
Hey Robert, Agnes, Climber, whatever please try to do these yourself. It does not help if teachers do them all for you.
To find out when Carl and Matt will have a game on the same day, we need to determine the smallest common multiple of 4 and 5.
We can start by listing the multiples of 4 and 5:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
We can see that both 20 and 40 are multiples of 4 and 5. Therefore, Carl and Matt will have a game on the same day on the 20th and 40th day since their initial game.
So, Carl and Matt will have a game on the same day every 20 days.