Question

Your math test scores are 68, 78, 90 and 91. what is the lowest score you can earn on the next test and still achieve an average of at least 85?

Answer 1

Only a lowest score of 98 in the next test will result in an average score of 85.

According to the question, the scores on the arithmetic test are 68, 78, 90, and 91.

Find the exam score that will allow you to pass with the lowest average of at least 85. The average of the test scores must be at least 85, calculated by dividing the sum of the test results by the total number of tests.

Finding the score that will yield an average of 85 will be the first step.

Let the score be x,

$\frac{68+78+90+91+x}{5} = 85$

$\frac{327+x}{5} = 85$

Multiply both sides by 5,

327 + x = 425

Subtract 327 from both sides,

327 - 327 + x = 425 - 327

x = 98.

Therefore,a lowest score of 98 in the next test will result in an average score of 85.

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