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PS - ratio problem - Help needed Please

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by madsport » Sun Sep 07, 2008 6:58 am
A certain college has a student-to-teacher ratio of 11 to 1. The average (arithmetic mean) annual salary for teachers is $26,000. If the college pays a total of $3,380,000 in annual salaries to its teachers, how many students does the college have?

(A) 130
(B) 169
(C) 1,300
(D) 1,430
(E) 1,560

The answer is D
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Re: PS - ratio problem - Help needed Please

by parallel_chase » Sun Sep 07, 2008 7:10 am
madsport wrote:A certain college has a student-to-teacher ratio of 11 to 1. The average (arithmetic mean) annual salary for teachers is $26,000. If the college pays a total of $3,380,000 in annual salaries to its teachers, how many students does the college have?

(A) 130
(B) 169
(C) 1,300
(D) 1,430
(E) 1,560

The answer is D
teacher's average salary $26000
total teachers' combined salary = $3,380,000

no. of teachers = $3,380,000 / 26000 = 130

ratio
student: teacher = 11:1

11/1 = x/130

x = 11*130 = 1430

Hence D is the answer.
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