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Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72%72\% of all the 200200 questions. However, Owen answered 53.3%53.3\% of the math questions correctly. If 45%45\% of the questions were in math, what percent of history questions did Owen answer correctly? (Round to the nearest percent. Ignore the %\% symbol when entering your answer. For example, if the answer is 11.2%11.2\%, enter 1111.)

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Q. Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72%72\% of all the 200200 questions. However, Owen answered 53.3%53.3\% of the math questions correctly. If 45%45\% of the questions were in math, what percent of history questions did Owen answer correctly? (Round to the nearest percent. Ignore the %\% symbol when entering your answer. For example, if the answer is 11.2%11.2\%, enter 1111.)
  1. Calculate Owen's correct answers: Calculate the total number of questions Owen answered correctly.\newline72%72\% of 200200 questions = 0.72×2000.72 \times 200
  2. Calculate math questions: Perform the calculation from Step 11.\newline0.72×200=1440.72 \times 200 = 144\newlineOwen answered 144144 questions correctly in total.
  3. Calculate Owen's correct math answers: Calculate the number of math questions.\newline45%45\% of 200200 questions = 0.45×2000.45 \times 200
  4. Calculate history questions: Perform the calculation from Step 33.\newline0.45×200=900.45 \times 200 = 90\newlineThere are 9090 math questions.
  5. Calculate Owen's correct history answers: Calculate the number of math questions Owen answered correctly.\newline53.3%53.3\% of 9090 questions = 0.533×900.533 \times 90
  6. Calculate percentage of correct history answers: Perform the calculation from Step 55.\newline0.533×90=47.970.533 \times 90 = 47.97\newlineOwen answered approximately 4848 math questions correctly (rounding to the nearest whole number).
  7. Round the percentage: Calculate the number of history questions.\newlineTotal questions −- Math questions == History questions\newline200−90=110200 - 90 = 110\newlineThere are 110110 history questions.
  8. Round the percentage: Calculate the number of history questions.\newlineTotal questions - Math questions = History questions\newline200−90=110200 - 90 = 110\newlineThere are 110110 history questions.Calculate the number of history questions Owen answered correctly.\newlineTotal correct answers - Correct math answers = Correct history answers\newline144−48=96144 - 48 = 96\newlineOwen answered 9696 history questions correctly.
  9. Round the percentage: Calculate the number of history questions.\newlineTotal questions - Math questions = History questions\newline200−90=110200 - 90 = 110\newlineThere are 110110 history questions.Calculate the number of history questions Owen answered correctly.\newlineTotal correct answers - Correct math answers = Correct history answers\newline144−48=96144 - 48 = 96\newlineOwen answered 9696 history questions correctly.Calculate the percentage of history questions Owen answered correctly.\newline(96/110)∗100=(96 / 110) * 100 = percentage of correct history answers
  10. Round the percentage: Calculate the number of history questions.\newlineTotal questions - Math questions = History questions\newline200−90=110200 - 90 = 110\newlineThere are 110110 history questions.Calculate the number of history questions Owen answered correctly.\newlineTotal correct answers - Correct math answers = Correct history answers\newline144−48=96144 - 48 = 96\newlineOwen answered 9696 history questions correctly.Calculate the percentage of history questions Owen answered correctly.\newline(96/110)∗100=(96 / 110) * 100 = percentage of correct history answersPerform the calculation from Step 99.\newline(96/110)∗100≈87.27(96 / 110) * 100 \approx 87.27\newlineOwen answered approximately 87.27%87.27\% of the history questions correctly.
  11. Round the percentage: Calculate the number of history questions.\newlineTotal questions - Math questions = History questions\newline200−90=110200 - 90 = 110\newlineThere are 110110 history questions.Calculate the number of history questions Owen answered correctly.\newlineTotal correct answers - Correct math answers = Correct history answers\newline144−48=96144 - 48 = 96\newlineOwen answered 9696 history questions correctly.Calculate the percentage of history questions Owen answered correctly.\newline(96/110)∗100=(96 / 110) * 100 = percentage of correct history answersPerform the calculation from Step 99.\newline(96/110)∗100≈87.27(96 / 110) * 100 \approx 87.27\newlineOwen answered approximately 87.27%87.27\% of the history questions correctly.Round the percentage to the nearest whole number.\newline87.27%87.27\% rounds to 87%87\%.

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