The weight of one chair is \(\boxed{\bf9.73\,{\bftext{Pounds}}}\).
Further explanation:
The weight of a table and eight chairs is 235.68 pounds together.
Let the weight of a chair be \(x\).
Then, weight of eight chairs will be eight times \(x\) that is \(8x\).
It is given in the question that weight of a table is 157.84 pounds.
According to the given information, the mathematical equation for the statement that a table and 8 chairs weigh 235.68 lb together is written as,
\(8x+157.84=235.68\)
Above linear equation contain all the information of a given question.
On Solving the above linear equation as shown below, we obtain a unique value of \(x\).
\(\begin{aligned}8x+157.84&=235.68\hfill\\8x&=235.68-157.84\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left({{\text{Subtract}}\,157.84\,{\text{from}}\,{\text{both}}\,{\text{sides}}}\right)\hfill\\8x&=77.84\hfill\\x&=\frac{{77.84}}{8}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left({{\text{Divide}}\,{\text{by}}\,8}\right)\hfill\\x&=9.73\hfill\\\end{aligned}\)
From the above calculation, the unique value of \(x\) is 9.73.
We assumed that variable \(x\) denotes the weight of one chair.
Thus, the weight of one chair is \(\boxed{\bf9.73\,{\bftext{Pounds}}}\).
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Linear equations
Keywords: Chair, table, pounds, variable, lb, linear equation, eight, 8x + 157.84=235.68, information
