Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 21, 2023

Find the total number of questions on a math exam if a student answered 21 problems correctly, which is $70\%$ of the total.

STEP 1

Assumptions
1. The student answered 70% of the questions correctly.
2. The number of correctly answered questions is 21.

STEP 2

Let's denote the total number of questions on the exam as $x$ . Since the student answered 70% of the questions correctly, we can write the following equation:
$0.70x = 21$

STEP 3

To find the total number of questions $x$ , we need to divide the number of correctly answered questions by the percentage (in decimal form) of questions answered correctly.
$x = \frac{21}{0.70}$

STEP 4

Perform the division to find the value of $x$ .
$x = \frac{21}{0.70} = 30$
The total number of questions on the exam was 30.

Was this helpful?

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Contact Influencer program Policy Terms