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Please help me with this question. (100 points)

Please help me with this question. (100 points)-example-1

2 Answers

3 votes

Answer:

6 pounds

Explanation:

hope it helps!!

User Kbunarjo
by
8.6k points
2 votes

Answer:

8 pounds

Explanation:

  • Ratio of C:N = 30:1
  • C - carbon content, N - nitrogen content

Given

  • Coffee grounds = 1 pound contains 25% C and 1% N
  • Rotten vegetables = 6 pounds contains 10% C and 1% N
  • Dry leaves = ? pound contains 30% C and 0.5% N

Solution

Coffee grounds and Rotten vegetables together give:

  • 1 + 6 = 7 pounds
  • C = 1*0.25 + 6*0.1 = 0.25 + 0.6 = 0.85
  • N = 1*0.01 + 6*0.01 = 0.01 + 0.06 = 0.07

Add dry leaves of x pounds:

  • Total = 7 + x
  • C = 0.85 + 0.3x
  • N = 0.07 + 0.05x

Finding required weight of dry leaves:

  • (0.85 + 0.3x)/(0.07+0.005x) = 30/1
  • 0.85 + 0.3x = 30(0.07 + 0.005x)
  • 0.85 + 0.3x = 2.1 + 0.15x
  • 0.3x - 0.15x = 2.1 - 0.85
  • 0.15x = 1. 25
  • x = 1.25/0.15
  • x = 8.33 pounds = 8 pounds rounded to nearest pound

User Mark Cassidy
by
8.3k points

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