8. Eight-elevenths of Jesse Black's inventory was destroyed by fire. He sold the remaining part, which was slightly damaged, for one-sixth of its value and received $3500. (a) What was the value of the destroyed part of the inventory? (b) What was the value of the inventory before the fire?

In this problem, 8/11 of his inventory was destroyed, hence 3/11 remained. The amount that remained was sold for 1/6 of it's value, and he received $3500, hence the value before the fire was given by:

[tex]\frac{1}{6}\left(\frac{3}{11}\right)n = 3500[/tex]

[tex]\frac{1}{22}n = 3500[/tex]

n = $77,000.

8/11 of that was destroyed, hence:

vD = 8/11 x $77,000 = 8 x $7,000 = $56,000.

More can be learned about proportions at https://brainly.com/question/24372153

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8. Eight-elevenths of Jesse Black's inventory was destroyed by fire. He sold the remaining part, which was slightly damaged, for one-sixth of its value and received $3500. (a) What was the value of the destroyed part of the inventory? (b) What was the value of the inventory before the fire?​

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8. Eight-elevenths of Jesse Black's inventory was destroyed by fire. He sold the remaining part, which was slightly damaged, for one-sixth of its value and received $3500. (a) What was the value of the destroyed part of the inventory? (b) What was the value of the inventory before the fire?