Jerome bought 8 identical dining chairs. The total shipping weight of all 8 chairs with their
cushions is 105.6 pounds. Each cushion weighs 2.4 pounds. He needs to exchange one chair
without its cushion because it arrived damaged. Use the drop-down menus to complete the
statements about the shipping weight of one chair without its cushion.

Respuesta :

might be a little too late but the right answer is 8 ( x + 2.4 ) = 105.6

it's the only equation which actually equals 105.6 if x equals 10.8 (which, it does)

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Following are the calculation to the given weight:

Assume that the weight of each chart is x and that the weight of each cushion is y.

Therefore,

[tex]\to 8x + 8y = 105.6\\\\[/tex]

Each cushion weighs 2.4 pounds Calculating weight of each chair:

[tex]\to x= \frac{108.6-8y}{8}[/tex]

       [tex]= \frac{105.6 -8 \times 2.4}{8}\\\\= \frac{105.6 - 19.2}{8}\\\\= \frac{86.4}{8}\\\\= 10.8\ pounds \\\\[/tex]

Therefore, the final answer is "10.8 pounds"

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