Question

Marissa got an 85% on her math quiz. If she got 34 questioeright, how many questions were on the test?

Answer 1

the test had "x" in total, thus "x" is the 100%.

now, we know she got 34, and that 34 is the 85%.

if 34 is the 85%, what is "x"?

$\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 34&85 \end{array}\implies \cfrac{x}{34}=\cfrac{100}{85}\implies x=\cfrac{34\cdot 100}{85}$

Answer 2

There were 40 questions on the test. You would do 34 times 100 and your answer would be 3400. Then you would divide 3400 by 85% and your answer is 40