We have been given that Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practices both the trumpet and the flute today.
To find when Camryn will practice both trumpet and flute again, we will find LCM of both numbers.
Multiples of 11 are: 11, 22, 33, 44,..
Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39,...
We can see that LCM of 11 and 3 is 33, therefore, Camryn will practice the trumpet and flute again on 33rd day.