Question

You answer $35$ out of $50$ questions correctly in a math quiz and $70$ questions correctly in the chemistry quiz with the same accuracy. What is the total number of questions in the chemistry quiz?

• A. $50$
• B. $60$
• C. $100$
• D. $25$

Answer 1

The correct option is C $100$

Number of questions answered correctly in the math quiz $=35$
Total number of questions in the math quiz $=50$

Ratio of questions answered correctly to the total number of questions $=35:50$

Let the total number of questions in the chemistry quiz be $c.$

More questions are answered correctly in the chemistry quiz than in the math quiz. Hence, the total number of questions in the chemistry quiz will be more than that of the math quiz. Since the accuracy of answering correctly is the same for both quizzes, we can write:
$35:50::70:c$
$\Rightarrow \frac{35}{50}=\frac{70}{c}$
By cross-multiplication, we get
$35c=70\times 50$
$\Rightarrow c=100$
Therefore, there are $100$ questions in the chemistry quiz.