Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72% of all the 200 questions. However, Owen answered 53.3% of the math questions correctly. If 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%, enter 11.)

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Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered  72% of all the 200 questions. However, Owen answered  53.3% of the math questions correctly. If  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%, enter 11.)

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Calculate Correct Answers:  Step 1: Calculate the total number of questions Owen answered correctly. Owen correctly answered 72% of all 200 questions. Correctly answered questions = 72% of 200 = 0.72 * 200 = 144Total Math Questions:  Step 2: Calculate the total number of math questions. 45% of the questions were in math. Math questions = 45% of 200 = 0.45 * 200 = 90Math Questions Correct:  Step 3: Calculate the number of math questions Owen answered correctly. Owen answered 53.3% of the math questions correctly. Correctly answered math questions = 53.3% of 90 = 0.533 * 90 = 47.97 Since the number of questions Owen can answer correctly must be a whole number, we round to the nearest whole number. Correctly answered math questions ≈ 48Total History Questions:  Step 4: Calculate the total number of history questions. Total questions = 200 Math questions = 90 History questions = Total questions - Math questions = 200 - 90 = 110History Questions Correct:  Step 5: Calculate the number of history questions Owen answered correctly. Total correctly answered questions = 144 Correctly answered math questions = 48 Correctly answered history questions = Total correctly answered questions - Correctly answered math questions = 144 - 48 = 96Percentage of Correct Answers:  Step 6: Calculate the percentage of history questions Owen answered correctly. Percentage of correctly answered history questions = (Correctly answered history questions / Total history questions) * 100 = (96 / 110) * 100 = 0.8727272727272727 * 100 = 87.27272727272727 Rounded to the nearest percent: 87%

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