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

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Question: A student scores 70, 80, and 90 in three exams. What score does he need in the fourth exam to achieve an average of 85?

Options:

Correct Answer: 95

Solution:

Let the fourth score be x. (70 + 80 + 90 + x) / 4 = 85. Solving gives x = 95.

A student scores 70, 80, and 90 in three exams. What score does he need in the fourth exam to achieve an average of 85?

A student scores 70, 80, and 90 in three exams. What score does he need in the fourth exam to achieve an average of 85?

Step 1: Add the scores of the first three exams: 70 + 80 + 90.
Step 2: Calculate the total from Step 1: 70 + 80 + 90 = 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.