In one alloy there is 12% chromium while in another alloy it is 8%. 20 kg of the first alloy was ...

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In one alloy there is % chromium while in another alloy it is %. kg of the first alloy was melted together with kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.

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Calculated Answer

9.4545454545455

Step by Step Solution

In order to solve problem, you must evaluate ((n₀ * n₂) / 100 + (n₁ * n₃) / 100) / (n₂ + n₃) * 100.

• ((n₀ * n₂) / 100 + (n₁ * n₃) / 100) / (n₂ + n₃) * 100

• Evaluate n₀ * n₂ = 240

  (240 / 100 + (n₁ * n₃) / 100) / (n₂ + n₃) * 100

• Evaluate 240 / 100 = 2.4

  (2.4 + (n₁ * n₃) / 100) / (n₂ + n₃) * 100

• Evaluate n₁ * n₃ = 280

  (2.4 + 280 / 100) / (n₂ + n₃) * 100

• Evaluate 280 / 100 = 2.8

  (2.4 + 2.8) / (n₂ + n₃) * 100

• Evaluate 2.4 + 2.8 = 5.2

  5.2 / (n₂ + n₃) * 100

• Evaluate n₂ + n₃ = 55

  5.2 / 55 * 100

• Evaluate 5.2 / 55 = 0.094545454545455

  0.094545454545455 * 100

• Evaluate 0.094545454545455 * 100 = 9.4545454545455

  9.4545454545455
• The answer to the problem and the result of ((n₀ * n₂) / 100 + (n₁ * n₃) / 100) / (n₂ + n₃) * 100 is 9.4545454545455