To get an A in a course, you need an average of 90% or better on four tests. The first three tests are worth 100 points each and the fourth is worth 200 points. Your scores on the first three tests are 84, 92, and 89. What must you score on the fourth test to get an A for the course?

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Adetunmbiadekunle Adetunmbiadekunle · Answer 1 · 2021-09-22T13:16:47+02:00

You must score a minimum of 190 in the fourth test to get an A for the course

The first three tests are worth 100 points while the fourth is worth 200 points

The 1st score = 84

The 2nd score = 92

The third score = 89

Let the fourth score on a 200 scale = x

The fourth score on a 100 scale = x/2 = 0.5x

Average = (1st score + second score + third score + 4th score) / 4

Average = (84 + 92 + 89 + 0.5x) / 4

To get an A:

Average ≥ 90

(84 + 92 + 89 + 0.5x) / 4 ≥ 90

265 + 0.5x ≥ 360

0.5x ≥ 360 - 265

0.5x ≥ 95

x ≥ 95/0.5

x ≥ 190

You must score a minimum of 190 in the fourth test to get an A for the course

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