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A local bakery celebrated its one-year anniversary on Saturday. On that day, every 4th customer received a free cookie. Every 6th customer received a free muffin.

Casey was the 3rd customer to receive both a free cookie and a free muffin. What number was Casey?

Answer :

Casey's number is given as follows:

36.

How to obtain Casey's number?

Considering periodic events, they will repeat on the same day for the least common factor of the periods of each event.

The periods are given as follows:

  • Free cookie: Every 4th customer.
  • Free muffin: Every 6th customer.

The least common factor of 4 and 6 is obtained as follows:

4 - 6|2

2 - 3|2

1 - 3|3

1

Hence:

lcm(2,3) = 2² x 3 = 12.

This means that one in 12 customers receive both the free cookie and the free muffin. Casey is the third customer to receive both of them, hence the number is given as follows:

3 x 12 = 36.

More can be learned about the least common factor at brainly.com/question/10749076

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Rewritten by : Jeany