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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Q. 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

Calculate Owen's correct answers: Calculate the total number of questions Owen answered correctly. $\newline$ $72\%$ of $200$ questions = $0.72 \times 200$
Calculate math questions: Perform the calculation from Step $1$ . $\newline$ $0.72 \times 200 = 144$ $\newline$ Owen answered $144$ questions correctly in total.
Calculate Owen's correct math answers: Calculate the number of math questions. $\newline$ $45\%$ of $200$ questions = $0.45 \times 200$
Calculate history questions: Perform the calculation from Step $3$ . $\newline$ $0.45 \times 200 = 90$ $\newline$ There are $90$ math questions.
Calculate Owen's correct history answers: Calculate the number of math questions Owen answered correctly. $\newline$ $53.3\%$ of $90$ questions = $0.533 \times 90$
Calculate percentage of correct history answers: Perform the calculation from Step $5$ . $\newline$ $0.533 \times 90 = 47.97$ $\newline$ Owen answered approximately $48$ math questions correctly (rounding to the nearest whole number).
Round the percentage: Calculate the number of history questions. $\newline$ Total questions $-$ Math questions $=$ History questions $\newline$ $200 - 90 = 110$ $\newline$ There are $110$ history questions.
Round the percentage: Calculate the number of history questions. $\newline$ Total questions - Math questions = History questions $\newline$ $200 - 90 = 110$ $\newline$ There are $110$ history questions.Calculate the number of history questions Owen answered correctly. $\newline$ Total correct answers - Correct math answers = Correct history answers $\newline$ $144 - 48 = 96$ $\newline$ Owen answered $96$ history questions correctly.
Round the percentage: Calculate the number of history questions. $\newline$ Total questions - Math questions = History questions $\newline$ $200 - 90 = 110$ $\newline$ There are $110$ history questions.Calculate the number of history questions Owen answered correctly. $\newline$ Total correct answers - Correct math answers = Correct history answers $\newline$ $144 - 48 = 96$ $\newline$ Owen answered $96$ history questions correctly.Calculate the percentage of history questions Owen answered correctly. $\newline$ $(96 / 110) * 100 =$ percentage of correct history answers
Round the percentage: Calculate the number of history questions. $\newline$ Total questions - Math questions = History questions $\newline$ $200 - 90 = 110$ $\newline$ There are $110$ history questions.Calculate the number of history questions Owen answered correctly. $\newline$ Total correct answers - Correct math answers = Correct history answers $\newline$ $144 - 48 = 96$ $\newline$ Owen answered $96$ history questions correctly.Calculate the percentage of history questions Owen answered correctly. $\newline$ $(96 / 110) * 100 =$ percentage of correct history answersPerform the calculation from Step $9$ . $\newline$ $(96 / 110) * 100 \approx 87.27$ $\newline$ Owen answered approximately $87.27\%$ of the history questions correctly.
Round the percentage: Calculate the number of history questions. $\newline$ Total questions - Math questions = History questions $\newline$ $200 - 90 = 110$ $\newline$ There are $110$ history questions.Calculate the number of history questions Owen answered correctly. $\newline$ Total correct answers - Correct math answers = Correct history answers $\newline$ $144 - 48 = 96$ $\newline$ Owen answered $96$ history questions correctly.Calculate the percentage of history questions Owen answered correctly. $\newline$ $(96 / 110) * 100 =$ percentage of correct history answersPerform the calculation from Step $9$ . $\newline$ $(96 / 110) * 100 \approx 87.27$ $\newline$ Owen answered approximately $87.27\%$ of the history questions correctly.Round the percentage to the nearest whole number. $\newline$ $87.27\%$ rounds to $87\%$ .