Question

Khadija answered 174 questions correctly on her multiple choice science final and earned a grade of 87%. How many total questions were on the final exam?

Answer 1

To find the total number of questions on Khadija's final exam, we can use the formula for percentage:

\[
\text{Percentage} = \left( \frac{\text{Number of correct answers}}{\text{Total number of questions}} \right) \times 100
\]

In this case, Khadija answered 174 questions correctly and earned a grade of 87%. We can set up the equation:

\[
87 = \left( \frac{174}{\text{Total number of questions}} \right) \times 100
\]

Next, we can rewrite the equation to solve for the total number of questions:

\[
\frac{174}{\text{Total number of questions}} = \frac{87}{100}
\]

Now, cross-multiply to eliminate the fraction:

\[
174 \times 100 = 87 \times \text{Total number of questions}
\]

Calculating the left side:

\[
17400 = 87 \times \text{Total number of questions}
\]

Now, we can solve for the total number of questions by dividing both sides by 87:

\[
\text{Total number of questions} = \frac{17400}{87}
\]

Calculating this gives:

\[
\text{Total number of questions} = 200
\]

Thus, the total number of questions on the final exam is \( \boxed{200} \).