A theater that is rectangular in shape seats 720 people.The number of rows needed to seat the people would be 4 less if each row held 6 more people.How many people would then be in each row?

Answer 1

If there are now x rows, then each row has 720/x seats.

The new configuration means that

(x-4)(720/x + 6) = 720
(x-4)(6x+720) = 720x
(x-4)(x+120) = 120x
x^2-4x-480 = 0
(x+20)(x-24) = 0
...