Answer:
a/b = c/d proportion
I believe you have teachers and students reversed
S / T = 45 / 2 that is there is 45 students for every 2 teachers
S + T = 1410 given in problem
(1410 - T) / T = 45 / 2 expresses the given situation of students / teachers
2820 - 2 T = 45 T rearranging previous expression
T = 2820 / 47 = 60 gives the number of teachers
S / T = 45 / 2
2 S = 45 T = 45 * 60 = 2700
or S = 1350 students
So the total teachers and students is 1350 + 60 = 1410 as given
S / T = 1350 / 60 = 45 / 2 ratio of students to teachers
