SOLUTION: nick works hard to get As. he needs a 94% average on 5 tests to earn an A. He has taken 3 tests so far and his average is a 92%. what is the minimum nick must average on the last
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Question 1127219: nick works hard to get As. he needs a 94% average on 5 tests to earn an A. He has taken 3 tests so far and his average is a 92%. what is the minimum nick must average on the last 2 tests to earn an A Found 3 solutions by Alan3354, greenestamps, josgarithmetic:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! nick works hard to get As. he needs a 94% average on 5 tests to earn an A. He has taken 3 tests so far and his average is a 92%. what is the minimum nick must average on the last 2 tests to earn an A
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3*92 = 276
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F0r the 5 tests, he needs 5*94 = 470
470 - 276 = 194
194/2 = 97 avg on the last 2.
Here is a method you can use to solve problems like this involving averages of numbers that are close together. It can get you to the answer much faster than the standard algebraic method.
You have taken three tests; your average on them is 2 points below the average you want to end up with.
That makes you a total of 6 points short.
So in the remaining tests you need to be a total of 6 points ABOVE the average you want to end up with.
Since you have two tests remaining, the average on those two tests must be 6/2 = 3 points above the average you are aiming for.
94+3 = 97 is your required average on the next two tests.
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