Question

In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. Fifty students were given a pre and post test for their math course. Overall, most students increased their scores by 20% points. The grades on the post test went up to 95%. What is the starting range for the grades on the test?

Answer 1

We conclude that the starting average grade is 79.17%

How to write the equation and solve it?

There are 50 students, let's say that the grades are measured between 1% and 100%.

And the average grade of the 50 students is A.

We know that after it increased by 20%, the average of the grades is 95.

Then we just need to solve the percentage equation:

95 = A*(1 + 20%/100%) = A*(1.2)

95/1.2 = A = 79.17

We conclude that the starting average grade is 79.17%

If you want to learn more about percentages:

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