Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned receive or lose overall?

Jun 9, 2018

$86$ is his final grade.
He lost $24$ points and gained $10$ points.

Explanation:

There are $25$ questions total. Assuming that answering all $25$ questions correctly earns you a $100$, let's calculate Ned's score.

First, Ned loses $4$ points each for $6$ questions he answered incorrectly. So:

$4 \cdot 6 = 24$
$100 - 24 = 76$

His current grade is a $76$. However, he answered a bonus question and earned $10$ points. So:

$76 + 10 = 86$

$86$ is his final grade.

He lost $24$ points and gained $10$ points.