A person scores 80, 90, and 70 in three exams. What score does he need in the fo

Practice Questions

Q1
A person scores 80, 90, and 70 in three exams. What score does he need in the fourth exam to achieve an average of 85?
  1. 90
  2. 95
  3. 100
  4. 85

Questions & Step-by-Step Solutions

A person scores 80, 90, and 70 in three exams. What score does he need in the fourth exam to achieve an average of 85?
Correct Answer: 100
  • Step 1: Add the scores of the first three exams: 80 + 90 + 70.
  • Step 2: Calculate the total from Step 1: 80 + 90 + 70 = 240.
  • Step 3: Let the score needed in the fourth exam be x.
  • Step 4: To find the average of four exams, use the formula: (Total of all scores) / (Number of exams).
  • Step 5: Set up the equation: (240 + x) / 4 = 85.
  • Step 6: Multiply both sides of the equation by 4 to eliminate the fraction: 240 + x = 340.
  • Step 7: Subtract 240 from both sides to solve for x: x = 340 - 240.
  • Step 8: Calculate the value of x: x = 100.
  • Average Calculation – Understanding how to calculate the average of a set of numbers by summing them and dividing by the count.
  • Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.
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