There are 3 counselors for every 45 students at Camp Rook. What is the maximum number of
students allowed if there are 11 counselors?
A) 15 students
B) 165 students
C) 150 students
D) 170 students

Answer

3counselors = 45 students

11counselors = x

Therefore;.

45 can be divided by 3 15 times so;

Therefore; 165 students will be allowed if there were only 11 counselors.

Well I don't know !
Let's find it together:

The factors of  12  are  1,  2,  3,  4,  6,  and  12 .

The factors of  20  are  1,  2,  4,  5,  10,  and  20 .

The factors of  36  are  1,  2,  3,  4,  6,  9,  12,  18,  and  36 .

The common factors of  12,  20,  and  36 (the ones that
show up on all three lists) are ...

                       1,  2, and  4 . 

The greatest one of these is  4 .