A student scores 80, 90, and 70 in three subjects. What score does he need in th

Practice Questions

Q1
A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?
  1. 90
  2. 95
  3. 100
  4. 85

Questions & Step-by-Step Solutions

A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?
Correct Answer: 100
  • Step 1: Add the scores of the first three subjects: 80 + 90 + 70.
  • Step 2: Calculate the total from Step 1: 80 + 90 + 70 = 240.
  • Step 3: Let the score in the fourth subject be x.
  • Step 4: To find the average of four subjects, use the formula: (Total of all scores) / (Number of subjects).
  • Step 5: Set up the equation for the average: (240 + x) / 4 = 85.
  • Step 6: Multiply both sides of the equation by 4 to eliminate the fraction: 240 + x = 340.
  • Step 7: Solve for x by subtracting 240 from both sides: 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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