Claire and Jordan are managers at different restaurants and regularly make deposits at the bank: Claire goes to the bank every 5 business days, while Jordan goes every 7 business days. They are both at the bank today. How many business days will it be until Claire and Jordan are at the bank on the same day again?

Given: Claire goes to the bank every 5 business days, Jordan goes every 7 business days. To find out how many days they will go to the bank on the same day.

What is LCM?

LCM is the least common multiple. It is the lowest multiple which occurs in all the multiple of numbers for a given set of numbers or it is the least common number which can be divisible by all the numbers given for a given set of numbers.

Why is LCM important?

LCM is important because it helps us to find the lowest number which can be divisible for a given set of numbers. It also helps in determining the denominator for the difference and addition of fractions.

Let's solve the given problem.

Given that Claire goes to bank every 5 days and

Jordan goes to bank every 7 days.

Also both Claire and Jordan is present in the bank on the same day.

Now if we observe the question, we see that it is only possible for Claire and Jordan to go to the bank on the same day when the day is a common multiple for both 7 and 5.

Therefore, the minimum number of days after which Claire and Jordan will go to the bank on the same day is LCM(7, 5) that is 35.

Hence Claire and Jordan will be at the bank on the same day after 35 business days.

Know more about "least common multiple (LCM)" here: https://brainly.com/question/20739723

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