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A student scores 80, 85, and 90 in three tests. What score does he need in the f

Practice Questions

Q1
A student scores 80, 85, and 90 in three tests. What score does he need in the fourth test to have an average of 85?
  1. 80
  2. 85
  3. 90
  4. 95

Questions & Step-by-Step Solutions

A student scores 80, 85, and 90 in three tests. What score does he need in the fourth test to have an average of 85?
Correct Answer: 95
  • Step 1: Add the scores of the first three tests: 80 + 85 + 90.
  • Step 2: Calculate the total from Step 1: 80 + 85 + 90 = 255.
  • Step 3: Let the score needed in the fourth test be x.
  • Step 4: Write the equation for the average: (255 + x) / 4 = 85.
  • Step 5: Multiply both sides of the equation by 4 to eliminate the fraction: 255 + x = 340.
  • Step 6: Subtract 255 from both sides to solve for x: x = 340 - 255.
  • Step 7: Calculate the value of x: x = 85.
  • 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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