headteacher hires new teachers, algebra problem
Source: 2007 Estonia National Olympiad Final Round grade 9 p3
March 12, 2020
algebra
Problem Statement
The headteacher wants to hire a certain number of new teachers in addition to existing teachers. If he hired an additional teachers, the number of school students would be reduced number per teacher by . However, if the headmaster hired new teachers, the number of students per teacher would be reduced by . How many students and how many there are teachers in this school?
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