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Riley answered 42 questions correctly on her multiple choice science final and earned a grade of \( 35 \% \). Ho many total questions were on the final exam?

Ask by Burns Maxwell. in the United States
Jan 23,2025

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Answer

There were 120 total questions on Riley's science final exam.

Solution

To determine the total number of questions on Riley's science final exam, we can set up the problem using the information provided: - **Number of correctly answered questions:** 42 - **Percentage grade earned:** 35% Let's denote the **total number of questions** on the exam as \( x \). ### Step 1: Understand the Relationship Riley earned 35% of the total possible points by answering 42 questions correctly. This relationship can be expressed mathematically as: \[ \frac{42}{x} = 0.35 \] Here, \( 0.35 \) represents 35% in decimal form. ### Step 2: Solve for \( x \) To find the total number of questions \( x \), you can rearrange the equation: \[ x = \frac{42}{0.35} \] ### Step 3: Calculate the Value Now, perform the division: \[ x = \frac{42}{0.35} = 120 \] ### Conclusion There were **120 total questions** on Riley's science final exam.

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Bonus Knowledge

To find the total number of questions on the final exam, you can use the formula for calculating a percentage. If Riley answered 42 questions correctly and that represented 35% of the total questions, you can set up the equation: \( \frac{42}{x} = 0.35 \) Where \( x \) is the total number of questions. To solve for \( x \), multiply both sides by \( x \) and then by 100: \( 42 = 0.35x \) Now divide both sides by 0.35 to isolate \( x \): \( x = \frac{42}{0.35} = 120 \) So, there were a total of 120 questions on the final exam! In a similar context, students often rely heavily on multiple-choice formats, finding strategies to excel. Understanding key concepts rather than memorizing answers can help improve scores significantly! Test-takers sometimes make the mistake of focusing too much on eliminating wrong answers rather than being confident in their first instinct. Trusting your gut can lead to better results!

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