the ratio of teachers to students in a school is 45:2. how many teachers are in the school if there is a total of 1410 students and teachers altogether ? I need help asap

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