# SOLUTION: In an office building, a room contains 90 chairs. The number of chairs per row is three less than three times the number of rows. Find the number of rows and the number of chairs p

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 Question 291405: In an office building, a room contains 90 chairs. The number of chairs per row is three less than three times the number of rows. Find the number of rows and the number of chairs per row. Found 2 solutions by edjones, ankor@dixie-net.com:Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!Let r=number of rows, c=number of chairs/row cr=90 c+3=3r . c=3r-3 r(3r-3)=90 3r^2-3r-90=0 r^2-r-30=0 (r-6)(r+5)=0 r=6 c=15 . Ed Answer by ankor@dixie-net.com(15649)   (Show Source): You can put this solution on YOUR website!In an office building, a room contains 90 chairs. The number of chairs per row is three less than three times the number of rows. Find the number of rows and the number of chairs per row. : Let r = no. of rows Let n = no. of chair/row : r * n = 90 : "The number of chairs per row is three less than three times the number of rows." n = 3r - 3 : Replace n in the equation: r*n = 90 r*(3r-3) = 90 3r^2 - 3r = 90 3r^2 - 3r - 90 = 0 simplify, divide by 3 r^2 - r - 30 Factor (r-6)(r+5) = 0 positive solution r = 6 rows then n = 3(6) - 3 n = 15 chairs in each row : : Check: 15 * 6 = 90