Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 3/4 of all the 20 questions. However, Owen answered 5/6 of the math questions correctly. If 1/2 of the questions were in math, what percent of history questions did Owen answer correctly?

Identify Missing Values: Identify the missing values in the problem statement. The problem statement is missing specific values for the number of questions Owen answered correctly, the total number of questions, the fraction of math questions he answered correctly, and the fraction of questions that were in math. Without these values, we cannot proceed with the calculations.

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Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered $\frac{3}{4}$ of all the $20$ questions. However, Owen answered $\frac{5}{6}$ of the math questions correctly. If $\frac{1}{2}$ of the questions were in math, what percent of history questions did Owen answer correctly?

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Grade 7

Percents of numbers: word problems

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Q. Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered

\frac{3}{4}

of all the

20

questions. However, Owen answered

\frac{5}{6}

of the math questions correctly. If

\frac{1}{2}

of the questions were in math, what percent of history questions did Owen answer correctly?

Calculate Total Questions Correct: Calculate the total number of questions Owen answered correctly. $\newline$ Calculation: $\frac{3}{4}$ of $20$ = $15$ questions.
Determine Math Questions: Determine the number of math questions. $\newline$ Calculation: $\frac{1}{2}$ of $20 = 10$ math questions.
Calculate Math Questions Correct: Calculate how many math questions Owen answered correctly. $\newline$ Calculation: $\frac{5}{6}$ of $10 = 8.33$ , but since we can't have a fraction of a question answered, it rounds to $8$ questions.