Answer :
Based on the information provided and the requirements to organize the students, Jon most likely has 23 students.
How many students are needed to organize them in a rectangular grid?
In general, Jon will need a number that is not prime as this type of number will not allow him to complete all the grid.
Which are possible numbers?
20 = A rectangular grid of 5 x 4 seats can be arranged
21= A rectangular grid of 7 x 3 can be arranged
22 = A rectangular grid of 2 x 11 can be arranged
23 = It is impossible to organize 23 seats in a rectangular grid without gaps
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Jon has 23 students in his class.
How to determine the number of students
Number of students = Least 20 and most 28
In this case, we are getting a 1 * x rectangle of desks, which is the only possible arrangement.
'x' is a prime number.
Since his classes can't have less than 20 and more than 28, it means we are looking out for a prime number between 20 and 28.
Let's sort out a prime number between the numbers, 20 and 28
20: 1,2,4,5,10,20
21: 1,3,7,21
22: 1,2,11,22
23: 1,23
24: 1,2,3,4,6,8,12,24
25: 1,5,25
26: 1,2,13,26
27: 1,3,9,27
28: 1,2,4,7,14,28
From what we have, 23 is a prime number because it is only divisible by one and itself.
Therefore, Jon has 23 students in his class.
Learn more about prime numbers here:
https://brainly.com/question/145452
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