masonlucky65
Answered

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Ben visits the park every 2 days and goes to the library every 5 days. If Ben gets to do both of these today, how many days will pass before Ben gets to do them both on the same day again?

Sagot :

misspancitcanton

Answer:

10 days will pass before Ben gets to do them both on the same day again.

Step-by-step explanation:

Word Problem

Let us analyze the given problem above.

Given:

schedule of visiting the park - every 2 days

schedule of going to the library - every 5 days

To find the number of days that will pass before Ben gets to do them both on the same day again, we need to get the least common multiple or LCM of 2 and 5.

Least common multiple is the smallest positive number that is a multiple of two or more numbers. To do that, we are just going to list down the multiples of the two numbers and get the smallest multiple that they have in common.

Multiples of 2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Multiples of 5:

5, 10, 15, 20

Now their LCM is 10.

Final Answer:

10 days will pass before Ben gets to do them both on the same day again.

For examples of finding the LCM of numbers, visit the links:

https://brainly.ph/question/1674403

https://brainly.ph/question/1893917

#LetsStudy

Jinjinjjara

Answer:

10

Step-by-step explanation:

Label today as 0

Park every 2 days:

 2, 4, 6, 8, 10, 12, 14, 15...days

Library every 5 days:  

5, 10, 15, 20...

You can see that the smallest number of days that must go by before Ben can do both things on one day is 10.

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