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A student scores 80, 85, and 90 in three subjects. What score must he achieve in
A student scores 80, 85, and 90 in three subjects. What score must he achieve in the fourth subject to have an average of 85?
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A student scores 80, 85, and 90 in three subjects. What score must he achieve in the fourth subject to have an average of 85?
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Mean = (80 + 85 + 90 + x) / 4 = 85.\n\n255 + x = 340\n\nx = 340 - 255 = 85.
Questions & Step-by-step Solutions
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Q: A student scores 80, 85, and 90 in three subjects. What score must he achieve in the fourth subject to have an average of 85?
Solution:
Mean = (80 + 85 + 90 + x) / 4 = 85.\n\n255 + x = 340\n\nx = 340 - 255 = 85.
Steps: 8
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Step 1: Add the scores of the first three subjects: 80 + 85 + 90.
Step 2: Calculate the total of the first three scores: 80 + 85 + 90 = 255.
Step 3: Let 'x' be the score needed in the fourth subject.
Step 4: To find the average of four subjects, use the formula: (255 + x) / 4.
Step 5: Set the average equal to 85: (255 + x) / 4 = 85.
Step 6: Multiply both sides by 4 to eliminate the fraction: 255 + x = 340.
Step 7: Solve for 'x' by subtracting 255 from both sides: x = 340 - 255.
Step 8: Calculate the value of 'x': x = 85.
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