SOLUTION: You are taking a course that has 4 tests. The first 3 tests are 100 points each and the fourth test is 200 points. To get an A in the course, you must have an average of at least 9

Question 270194: You are taking a course that has 4 tests. The first 3 tests are 100 points each and the fourth test is 200 points. To get an A in the course, you must have an average of at least 90% on the four tests. Your scores on the first three tests were 87,92,and 84. What must you score on the 4th test to get an A for the course?
Found 2 solutions by drk, Theo:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
The total points are 300 + 200 = 500.
90% of 500 = 450 points
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The 3 scores are: 87, 92,and 84 which sum to 263.
450 - 263 = 187.
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You must scores 187 out of 200 on the fourth test to get an A.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Your scores are 87, 92, 84.

To get an average of 90 on all four tests, your formula needs to be:

87 + 92 + 84 + x = 90*4

Combine like terms and simplify to get:

263 + x = 360

Subtract 263 from both sides of the equation to get:

x = 360 - 263 = 97.

You need to get a 97 on the last test.

Then you would get the following:

87 + 92 + 84 + 97 = 360

360/4 = 90% overall average on the 4 tests.

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