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A student 74 out of 100 on a test if the maximum score on the next test is also 100 points what score does the student need to maintain at least an average of 82

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The easiest way to solve this is using algebra. You know that the average of 74 and another score has to be at least 82.

(74 + x)/2 = 82
74 + x = 164
x = 90

The lowest score he can get to maintain that average is 90.

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