Answer:
Step-by-step explanation:
x = # students
1000 / x = p
1000 / (x+50) = p -1 Given . solve this system for 'x'
From first equation : x = 1000/p sub this into the second equation
1000/ ( 1000/p +50) = p - 1 Multiply both sides by (1000/p+50)
1000 = 1000 + 50 p - 1000/p - 50 subtract 1000 from both sides
0 = 50p - 1000/p - 50 simplify by dividing by 50
0 = p - 20/p -1 Multiply by 'p'
0 = p^2 -p -20
Use Quadrtaic Formula to find p = 5
then x = 1000/5 = 200 students