Question

each question sandra answers incorrectly changes her overall score by -3/4 points. sandra's overall score was -4 1/2 points, and then she answered the last questions incorrectly. What was sandra's final score?

Answer 1

Sandra's final score is
`-5(1)/(4)`.

Explanation:

It is provided that each question Sandra answers incorrectly changes her overall score by -3/4 points.

That is, for every incorrect answer Sandra looses 3/4 points.

At a moment Sandra's overall score was
`-4(1)/(2)` points.

And then she answered the last questions incorrectly.

Compute the final score as follows:

Final score = Sandra's overall score -
`(3)/(4)`

`=-4(1)/(2)-(3)/(4)\\\\=-(9)/(2)-(3)/(4)\\\\=(-18-3)/(4)\\\\=-(21)/(4)\\\\=-5(1)/(4)`

Thus, Sandra's final score is
`-5(1)/(4)`.