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An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?

Respuesta :

  • Small chandelier be x
  • large chandelier be y
  • 5x+3y=308--(1)
  • 5x+5y=430--(2)

Subtracting eq(2) from eq(1)

[tex]\\ \tt\hookrightarrow -2y=-122[/tex]

[tex]\\ \tt\hookrightarrow y=61[/tex]

Put in eq(1)

[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]

[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]

[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]

[tex]\\ \tt\hookrightarrow 5x=125[/tex]

[tex]\\ \tt\hookrightarrow x=25[/tex]

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