Question

Ginger earned a score of 82% on her final math exam. She answered 123 questions correctly. How many questions were on the exam?A 101B 150C 189D 205E 223

Answer 1

B 150

Step-by-step explanation

Let the total number of questions that were on the exam be x.

Since Ginger earned a score of 82% and answered 123 correctly, this means that 82% of x is 123.

That is:

`\begin{gathered} \Rightarrow\text{ }(82)/(100)\cdot\text{ x = 123} \\ \text{Divide both sides by 82 and multiply by 100:} \\ x\text{ = }\frac{123\cdot\text{ 100}}{82} \\ x\text{ = 150} \end{gathered}`

Therer were 150 questions on the exam.