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Amanda has scored 84, 94, 88, and 58 on her previous four tests. What score does she need on her next test so that her average (mean) is 83?

Question

Amanda has scored 84, 94, 88, and 58 on her previous four tests. What score does she need on her next test so that her average (mean) is 83?

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Solution

To find out what score Amanda needs on her next test, we first need to find out what her total score is currently, and then determine what total score she needs to average 83 over 5 tests.

  1. Add up Amanda's current scores: 84 + 94 + 88 + 58 = 324

  2. Since she wants an average of 83 over 5 tests, multiply 83 by 5 to find the total score she needs: 83 * 5 = 415

  3. Subtract her current total score from the desired total score to find out what she needs on her next test: 415 - 324 = 91

So, Amanda needs to score 91 on her next test to average 83 over 5 tests.

This problem has been solved

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