Camryn practices the trumpet every 11th day and the flute every 3rd day. camryn practiced both the trumpet and the flute today. how many days until camryn practices the trumpet and flute again in the same day?

33 days.

Step-by-step explanation:

Given :- Camryn practices the trumpet every 11th day and the flute every 3rd day.

Camryn practiced both the trumpet and the flute today.  

To find the number of days until Camryn practices the trumpet and flute again in the same day, we need to find the least common multiple (L.C.M.) of 11 and 3.

As they both are co-prime numbers thus its L.C.M.= 11×3=33

Therefore, Camryn practices the trumpet and flute again in the same day after 33 days.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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