SOLUTION: A room contains 112 chairs. The number of chairs per row is five less than three times the number of rows. Find the number of chairs per row

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Question 1166786: A room contains 112 chairs. The number of chairs per row is five less
than three times the number of rows. Find the number of chairs per row
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y rows
112 total chairs
112%2Fy, how many chairs per row

112%2Fy=3y-5
-
112=3y%5E2-5y
3y%5E2-5y-112=0

discriminant, 5%5E2%2B4%2A3%2A112=25%2B12%2A112=1369
discriminant is 37%5E2.

y=%285%2B37%29%2F6=42%2F6=highlight%28highlight%287%29%29-----------------seven rows.

112%2F7=highlight_green%28highlight%2816%29%29--------------------how many chairs per row