Question

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?

Answer 1

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

Subtracting eq(2) from eq(1)

`\\ \tt\hookrightarrow -2y=-122`

`\\ \tt\hookrightarrow y=61`

Put in eq(1)

`\\ \tt\hookrightarrow 5x+3(61)=308`

`\\ \tt\hookrightarrow 5x+183=308`

`\\ \tt\hookrightarrow 5x=308-183`

`\\ \tt\hookrightarrow 5x=125`

`\\ \tt\hookrightarrow x=25`