Pregunta
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Question London answered 51 questions correctly on her multiple choice science final and earned a gra of \( 85 \% \). How many total questions were on the final exam?

Ask by Cummings Hill. in the United States
Mar 14,2025

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The total number of questions on the final exam is 60.

Solución

To find the total number of questions on the final exam, we can use the information provided about the number of questions London answered correctly and the percentage she earned. Let's denote the total number of questions on the final exam as \( x \). Given that London answered 51 questions correctly and earned a grade of 85%, we can set up the following equation: \[ \frac{51}{x} = 0.85 \] Now, we can solve for \( x \) to find the total number of questions on the final exam. Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{51}{x}=0.85\) - step1: Find the domain: \(\frac{51}{x}=0.85,x\neq 0\) - step2: Convert the expressions: \(\frac{51}{x}=\frac{17}{20}\) - step3: Rewrite the expression: \(x=\frac{51\times 20}{17}\) - step4: Divide the terms: \(x=60\) - step5: Check if the solution is in the defined range: \(x=60,x\neq 0\) - step6: Find the intersection: \(x=60\)

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Mind Expander

To find out how many total questions were on the final exam, we can set up the equation where \( x \) is the total number of questions. Knowing that 85% of the total questions corresponds to the 51 questions London answered correctly, we have the equation: \[ 0.85x = 51 \] To solve for \( x \), divide both sides by 0.85: \[ x = \frac{51}{0.85} \approx 60. \] So, there were approximately 60 questions on the final exam. Now, let’s reflect a little historically! The concept of multiple-choice tests goes back to the early 20th century, gaining popularity in education and standardized testing. They offered a convenient way to assess knowledge and were famously used in the United States Armed Forces during World War II for rapid evaluation of recruits' abilities. To ace a multiple-choice exam like London's, a great tip is to practice eliminating obviously wrong answers first—this can significantly boost your chances of selecting the correct answer if you need to guess! Also, don’t forget to read all options carefully, because sometimes, especially in science, the phrasing can be tricky and one small word can change the whole meaning!

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