A student scored 80, 85, 90, and 95 in four subjects. What score does he need in

Practice Questions

Q1
A student scored 80, 85, 90, and 95 in four subjects. What score does he need in the fifth subject to achieve an average of 90?
  1. 90
  2. 95
  3. 100
  4. 105

Questions & Step-by-Step Solutions

A student scored 80, 85, 90, and 95 in four subjects. What score does he need in the fifth subject to achieve an average of 90?
  • Step 1: Add the scores of the first four subjects: 80 + 85 + 90 + 95.
  • Step 2: Calculate the total from Step 1: 80 + 85 + 90 + 95 = 350.
  • Step 3: Let 'x' be the score needed in the fifth subject.
  • Step 4: Write the formula for the average: (350 + x) / 5 = 90.
  • Step 5: Multiply both sides of the equation by 5 to eliminate the fraction: 350 + x = 450.
  • Step 6: Subtract 350 from both sides to solve for 'x': x = 450 - 350.
  • Step 7: Calculate the value of 'x': x = 100.
  • Mean Calculation – Understanding how to calculate the average (mean) of a set of numbers.
  • Algebraic Manipulation – Solving for an unknown variable in an equation.
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