Average Score of 85 in Three Subjects

What’s inside this PDF?

Question: In a certain examination, the average score of a student in three subjects is 85. If the student scores 90 in the first subject and 80 in the second, what is the minimum score required in the third subject to maintain the average? (2023)

Options:

80
85
90
95

Correct Answer: 90

Exam Year: 2023

Solution:

Let the score in the third subject be x. The average is (90 + 80 + x) / 3 = 85. Solving gives x = 90.

Practice Questions

Q1

In a certain examination, the average score of a student in three subjects is 85. If the student scores 90 in the first subject and 80 in the second, what is the minimum score required in the third subject to maintain the average? (2023)

80
85
90
95

Questions & Step-by-Step Solutions

In a certain examination, the average score of a student in three subjects is 85. If the student scores 90 in the first subject and 80 in the second, what is the minimum score required in the third subject to maintain the average? (2023)

Step 1: Understand that the average score of three subjects is 85.
Step 2: Recall that the average is calculated by adding all the scores and dividing by the number of subjects.
Step 3: Let the score in the third subject be represented by 'x'.
Step 4: Write the equation for the average: (90 + 80 + x) / 3 = 85.
Step 5: Multiply both sides of the equation by 3 to eliminate the fraction: 90 + 80 + x = 255.
Step 6: Combine the known scores: 90 + 80 = 170, so the equation becomes 170 + x = 255.
Step 7: Subtract 170 from both sides to solve for x: x = 255 - 170.
Step 8: Calculate the result: x = 85.

Average Calculation – Understanding how to calculate the average score based on given scores.
Algebraic Manipulation – Solving for an unknown variable in an equation.

In a certain examination, the average score of a student in three subjects is 85

What’s inside this PDF?

In a certain examination, the average score of a student in three subjects is 85

Practice Questions

Questions & Step-by-Step Solutions

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