Question

A room contains 78 chairs. the number of chair per row is one more than twice the number of rows.Find the number of rows and number of chairs per row.​

Answer 1

Answer:

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Step-by-step explanation:

Let the number of rows be "r".

Let the number of chairs in a row be "c"

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Equations:

c*r = 78

r = 2c+1

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Substitute for "r" and solve for "c":

c(2c+1) = 78

2c^2 + c - 78 = 0

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Factor:

(c-6)(2c+13) = 0

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Positive solution:

# of chairs in a row = 6

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Solve for "r":

r = 2c+1

# of rows = 2*6+1 = 13