SOLUTION: the santa rosa sport complex contain 504 seats.there are 3 fewer rows than there are sests per row.find the number of rows and seats per row

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Question 1186251: the santa rosa sport complex contain 504 seats.there are 3 fewer rows than there are sests per row.find the number of rows and seats per row
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the santa rosa sport complex contain 504 seats.
there are 3 fewer rows than there are seats per row.
find the number of rows and seats per row
:
let s = the no. of seats per row
"there are 3 fewer rows than there are seats per row.", therefore:
(s-3) = no. of rows
:
s(s-3) = 504
a quadratic equation
s^2 - 3s - 504 = 0
YOu can use the quadratic formula; a=1; b=-3; c=-504, but this will factor to
(s-24)(s+21) = 0
the positive solution
s = 24 seats and obviously 21 rows
:
:
Check 24 * 21 = 504

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, number of rows
p, number of seats per row
504, number of seats

r%2Ap=504

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3 fewer rows than there are seats per row.
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p-r=3

System of two equations, two variables
system%28rp=504%2Cp-r=3%29

Maybe avoid any quadratic equation through factors of 504.
504
9%2A56
12%2A42
14%2A36
21%2A24-----------these differ by 3.

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24 seats per row
21 rows
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