Pat, kate and mark charged a total of 198 hours to a certain project .

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Pat, kate and mark charged a total of hours to a certain project. If pat charged twice as much time to the project as kate and / as much times as mark, how many more hours did mark charge to the project than kate.

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Calculated Answer

110

Step by Step Solution

In order to solve problem, you must evaluate n₀ / (n₁ + 2 + n₂ * 2) * (n₂ * 2 - n₁).

• n₀ / (n₁ + 2 + n₂ * 2) * (n₂ * 2 - n₁)

• Evaluate n₁ + 2 = 3

  n₀ / (3 + n₂ * 2) * (n₂ * 2 - n₁)

• Evaluate n₂ * 2 = 6

  n₀ / (3 + 6) * (n₂ * 2 - n₁)

• Evaluate 3 + 6 = 9

  n₀ / 9 * (n₂ * 2 - n₁)

• Evaluate n₀ / 9 = 22

  22 * (n₂ * 2 - n₁)

• Evaluate n₂ * 2 = 6

  22 * (6 - n₁)

• Evaluate 6 - n₁ = 5

  22 * 5

• Evaluate 22 * 5 = 110

  110
• The answer to the problem and the result of n₀ / (n₁ + 2 + n₂ * 2) * (n₂ * 2 - n₁) is 110