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a table and 8 chairs weigh 235.68lb together if the table weighs 157.84 lb, what is the weight of one chair in pounds

Respuesta :

Answer:

9.73 lb

Step-by-step explanation:

The total together is 235.68 lb.  Taking away the weight of the table, 157.84, we are left with

235.68-157.84 = 77.84 for the weight of all of the chairs.  Dividing this by 8 gives us the weight of one chair:

77.84/8 = 9.73

The weight of one chair is [tex]\fbox{\bf9.73\,{\text{lb}}}[/tex].

Further explanation:

The weight of a table and 8 chairs together is [tex]235.68\,{\text{lb}}[/tex].

The weight of the table is 157.84 lb.

Therefore the weight of 8 chairs is calculated as follows:

[tex]235.68-157.84=77.84[/tex]

The weight of 8 chairs is obtained as 77.84 lb.

Consider the cost of 1 chair as [tex]x[/tex].

Then the cost of 8 chairs can be written as [tex]8x[/tex].

Therefore the equation can be written as follows:

[tex]\begin{aligned}8x&=77.84\hfill\\x&=\frac{{77.84}}{8}\hfill\\x&=9.73\hfill\\\end{aligned}[/tex]

Here, [tex]x[/tex] represents the weight of 1 chair.

Thus, the weight of 1 chair is obtained as [tex]\fbox{\bf9.73\,{\text{lb}}}[/tex].

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Answer Details :

Grade: Junior High School

Subject: Mathematics

Chapter: Linear equation

Keywords: table, chair, linear equation in one variable, linear equation, weight in pound, weight, pound, the weight of 8 chair.

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