A student scored 80, 85, 90, and 95 on four tests. If he wants an average of 90 across five tests, what score must he achieve on the fifth test?
["How a Student Can Achieve a 90 Average Across Five Tests: Solving for the Fifth Test Score", "Maintaining a high academic average is a goal for many students, and understanding how to calculate and predict required scores can make goal-setting more achievable. In this scenario, a student scored 80, 85, 90, and 95 on four tests. The question is: what score must he earn on the fifth test to achieve an average of exactly 90 across all five tests?", "### Understanding the Requirements", "To find the needed fifth test score, we begin by recalling the formula for the average:", "[\n\ ext{Average} = \frac{\ ext{Sum of all scores}}{\ ext{Number of tests}}\n]", "The student wants an average of 90 over 5 tests. So, the total points needed are:", "[\n90 \ imes 5 = 450\n]", "### Sum of Current Scores", "The student’s scores on the first four tests are:", "- Test 1: 80\n- Test 2: 85\n- Test 3: 90\n- Test 4: 95", "Adding these:", "[\n80 + 85 + 90 + 95 = 350\n]", "### Calculating the Required Fifth Test Score", "Let ( x ) be the score on the fifth test. The total sum must be 450, so:", "[\n350 + x = 450\n]", "Solving for ( x ):", "[\nx = 450 - 350 = 100\n]", "### Conclusion: Minimum Score Required on Fifth Test", "To achieve a 90 average across five tests, the student must score exactly 100 on the fifth test. While a perfect score may be challenging, this calculation highlights how performance gaps can be bridged—by excelling on the final test.", "This process not only helps in academic planning but also teaches students the value of consistent performance and target-setting in education.", "---", "Key Takeaways:", "- Total score needed for an average of 90 in 5 tests: 450\n- Sum of first four test scores: 350\n- Required fifth test score: 100", "Stay focused, stay consistent—success starts with smart preparation!", "---\nKeywords: average test score, how to calculate fifth test score, student average calculation, test score goal calculation, target score for 90 average, academic performance goal"]
