Sure, let's walk through the solution step-by-step.
1. Identify the scores from the previous tests:
Boris has scores of 93, 82, and 72 on his previous three tests.
2. Identify the desired average score:
Boris wants his average score to be 79.
3. Determine the total number of tests:
His previous three tests plus the next test make a total of 4 tests.
4. Calculate the total score needed to achieve the desired average:
[tex]\[
\text{Desired average score} = 79
\][/tex]
To find the total score needed for all four tests to have an average of 79, we multiply the desired average by the total number of tests:
[tex]\[
\text{Total score needed} = 79 \times 4 = 316
\][/tex]
5. Calculate the actual total score of the previous three tests:
[tex]\[
\text{Actual total score} = 93 + 82 + 72 = 247
\][/tex]
6. Calculate the score needed on the next test:
To find the score Boris needs on the next test, subtract the actual total score from the total score needed:
[tex]\[
\text{Score needed on the next test} = 316 - 247 = 69
\][/tex]
Conclusion:
Boris needs to score 69 on his next test to achieve an average score of 79 across the four tests.
