Five students took a math test. The average score was 82. Four of the students' scores were 76, 85, 90, and 64. What was the fifth student's score?
5 * 82 = 410 total points
76 + 85 + 90 + 64 + x = 410
Solve for x.
To find the fifth student's score, we need to use the given information and the concept of average.
Step 1: Calculate the sum of the scores of the four known students.
76 + 85 + 90 + 64 = 315
Step 2: Calculate the total score of all five students by multiplying the average (82) by the number of students (5).
Total score = Average score × Number of students
Total score = 82 × 5 = 410
Step 3: Subtract the sum of the four known students' scores from the total score to find the fifth student's score.
Fifth student's score = Total score - Sum of four known students' scores
Fifth student's score = 410 - 315 = 95
Therefore, the fifth student's score is 95.