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e) Akili, Njozi and Aziz ring their bells. Akili rings his after 2 minutes, Njozi after every 3 minutes and Aziz after 4 minutes. After how many minutes will all the bells ring together? f) The school
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4 stepsPart e· 2 steps
Akili, Njozi and Aziz ring their bells. Akili rings his after 2 minutes, Njozi after every 3 minutes and Aziz after 4 minutes. After how many minutes will all the bells ring together?
Find the Least Common Multiple (LCM) of the ringing intervals.
The bells ring every 2, 3, and 4 minutes. We need to find the LCM of 2, 3, and 4.
List multiples or use prime factorization.
Multiples of 2: 2, 4, 6, 8, 10, 12, ...
Multiples of 3: 3, 6, 9, 12, ...
Multiples of 4: 4, 8, 12, ...
The smallest common multiple is 12.Alternatively, using prime factorization:
LCM = .All the bells will ring together after .
Part f
The school has 80 teachers if are female teachers. How many male teachers are there in that school?
Determine the fraction of male teachers.
If of the teachers are female, then the remaining fraction are male.
Fraction of male teachers = .Calculate the number of male teachers.
Total number of teachers = 80.
Number of male teachers = .
Number of male teachers = .There are in that school.
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