Question

Marissa got an $85\%$ on her math quiz. She had $34$ questions correct. How many questions were on the quiz?

Answer 1

Hint: From the question given we have been asked to find the total number of questions in the quiz. From the question we know that Marissa got an $85\%$ on her math quiz. And also given that she had $34$ questions correct. Now we have to assume that Marissa grade ratio is the same as the ratio of the number of questions she got right compared to the total number of questions. By this ratio and proportion, we can find the total number of questions.

Complete step by step solution:
From the given question Marissa got an $85\%$ on her math quiz, that means
$\Rightarrow 85\%=\dfrac{85}{100}$
And also given that she had $34$ questions correct.
Now we have to assume that the total number of questions are ‘x’,
Now we have to assume that Marissa grade ratio is the same as the ratio of the number of questions she got right compared to the total number of questions.
That means, we will get
$\Rightarrow \dfrac{85}{100}=\dfrac{34}{x}$
By further simplifying we will get,
$\Rightarrow x=\dfrac{3400}{85}$
By further simplifying we will get,
$\Rightarrow x=40$

Therefore, the total number of questions are $40$

Note: Students should know the how to apply the ratio and proportion concept, for suppose if students assumed ratio equation is $\dfrac{85}{100}=\dfrac{x}{34}$ then whole answer will be wrong. So students should be careful while applying the ratios.