Question

Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72%, percent of all the 200 questions. However, 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.

Answer 1

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.