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a student answers 90% of the questions on a math exam correctly. if she…

Question

a student answers 90% of the questions on a math exam correctly. if she answers 27 questions correctly, how many questions are on the exam?
there are ____ question on the exam.
answer

Explanation:

Step1: Define the variable

Let \( x \) be the total number of questions on the exam.

Step2: Set up the equation

We know that 90% of \( x \) is equal to 27. Mathematically, this can be written as \( 0.9x = 27 \).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.9: \( x=\frac{27}{0.9} \). Calculating this, \( \frac{27}{0.9} = 30 \).

Answer:

30