Answer to Question #176983 in Algebra for Daniel

Question

Birr 6‚500 were divided equally among a certain number of persons. Had there been 15 more persons, each would have got Birr 30 less. Find the originals number of persons.

Answer 1

$\frac{6500}{x}=\frac{6500}{x+15}+30,$

$x^2+15x-3250=0,$

$x=\frac{-15±\sqrt{225+13000}}{2}=\frac{-15±115}{2},$

$x>0,$

$x=50~(persons).$