To determine the score Dante needs on his next test to achieve an average of 83, follow these steps:
1. Understand the given scores: Dante’s scores from five tests are 84, 85, 80, 82, and 73.
2. Calculate the current total sum of these scores:
[tex]\[
84 + 85 + 80 + 82 + 73 = 404
\][/tex]
3. Determine the total number of tests Dante will have taken after the next test:
Dante has already taken 5 tests. Including the next test, he will have taken 6 tests.
4. Set a desired average score: We want the average of Dante's 6 tests to be 83.
5. Find the total sum required for an average of 83:
To have an average of 83 over 6 tests, the total sum of the scores must be:
[tex]\[
83 \times 6 = 498
\][/tex]
6. Determine the score needed on the next test:
Subtract the current total sum of the scores from the total sum required:
[tex]\[
498 - 404 = 94
\][/tex]
Therefore, Dante needs to score 94 on his next test to achieve an average score of 83.
