Chelsea, Jordan and Maddy all work at the same clothing store. Chelsea works every other day. Jordan works every fourth day and

Question

muminat

3 years ago

5

Chelsea, Jordan and Maddy all work at the same clothing store. Chelsea works every other day. Jordan works every fourth day and

Maddy works every fifth day. Today they all worked together. How many days will it be until they work together again?

Mathematics

1 answer:

cestrela7 [59] · Answer 1 · 2022-05-04T02:51:42+03:00

After 20 days Chelsea, Jordan and Maddy will be working together !

<u>Step-by-step explanation:</u>

Here we have , Chelsea, Jordan and Maddy all work at the same clothing store. Chelsea works every other day. Jordan works every fourth day and Maddy works every fifth day. Today they all worked together. We need to find How many days will it be until they work together again . Let's find out:

According to given scenario we have , Chelsea works every other day i.e. in 1 day. Jordan works every fourth day i.e. in 4 days and Maddy works every fifth day i.e. in 5 days . In order to find How many days will it be until they work together again we will calculate LCM of all of the three people working days period i.e. 1 , 4 , 5 :

⇒ $1(4)(5)$

⇒ $20$

Since, LCM of all of the three people working days period i.e. 1 , 4 , 5 is 20 , Therefore , After 20 days Chelsea, Jordan and Maddy will be working together !