SOLUTION: A room contains 114 chairs. The number of chairs per row is two less than twice the number of rows. Find the number of rows and the number of chairs per row.

Question 1004067: A room contains 114 chairs. The number of chairs per row is two less than twice the number of rows. Find the number of rows and the number of chairs per row.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the number of rows, r.
Call the number of chairs per row, c.
From the facts in the problem, we have
c = 2r - 2
and
rc = 114
Substituting we get
r(2r - 2) = 114
2r^2 - 2r - 114 = 0
r^2 - r - 57 = 0
This does not work out evenly. I'm thinking there is a fact missing about whether the rows are even or not...
If there were 112 chairs it would work out...
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