An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to ...

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An empty fuel tank with a capacity of gallons was filled partially with fuel a and then to capacity with fuel b. Fuel a contains % ethanol by volume and fuel b contains % ethanol by volume. If the full fuel tank contains gallons of ethanol, how many gallons of fuel a were added?

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Calculated Answer

200

Step by Step Solution

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

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

• Evaluate n₂ / 100 = 0.16

  (n₀ * 0.16 - n₃) / (n₂ / 100 - n₁ / 100)

• Evaluate n₀ * 0.16 = 32

  (32 - n₃) / (n₂ / 100 - n₁ / 100)

• Evaluate 32 - n₃ = 8

  8 / (n₂ / 100 - n₁ / 100)

• Evaluate n₂ / 100 = 0.16

  8 / (0.16 - n₁ / 100)

• Evaluate n₁ / 100 = 0.12

  8 / (0.16 - 0.12)

• Evaluate 0.16 - 0.12 = 0.04

  8 / 0.04

• Evaluate 8 / 0.04 = 200

  200
• The answer to the problem and the result of (n₀ * n₂ / 100 - n₃) / (n₂ / 100 - n₁ / 100) is 200