Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72%, percent of all the 200 questions. Howe
ver, Owen answered 53.3%, point, 3, percent of the math questions correctly. If 45%, percent of the questions were in math, what percent of history questions did Owen answer correctly? Round to the nearest percent.
He answered 87% of the social studies questions correctly.
He answered 72% of the total questions correctly. 0.72(200) = 144; therefore he answered 144 questions correctly.
Math questions were 45% of the total test; 0.45(200) = 90; there were 90 math questions on the test. This means there are 200-90=110 social studies questions on the test.
He answered 53.3% of the math questions correctly; 0.533(90)=48 correctly answered math questions.
Since he correctly answered 144 questions total, there were 144-48=96 social studies questions he answered correctly.
96/110 = 0.872 = 87% of social studies questions answered correctly.
