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A student scores 60, 70, and 80 in three subjects. If he wants an average of 75,
A student scores 60, 70, and 80 in three subjects. If he wants an average of 75, what score does he need in the fourth subject?
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Q1
A student scores 60, 70, and 80 in three subjects. If he wants an average of 75, what score does he need in the fourth subject?
70
75
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Let the fourth score be x. (60 + 70 + 80 + x) / 4 = 75. Solving gives x = 90.
Questions & Step-by-step Solutions
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Q
Q: A student scores 60, 70, and 80 in three subjects. If he wants an average of 75, what score does he need in the fourth subject?
Solution:
Let the fourth score be x. (60 + 70 + 80 + x) / 4 = 75. Solving gives x = 90.
Steps: 7
Show Steps
Step 1: Add the scores of the first three subjects: 60 + 70 + 80.
Step 2: Calculate the total from Step 1: 60 + 70 + 80 = 210.
Step 3: Let the score needed in the fourth subject be x.
Step 4: Write the formula for the average: (210 + x) / 4 = 75.
Step 5: Multiply both sides of the equation by 4 to eliminate the fraction: 210 + x = 300.
Step 6: Subtract 210 from both sides to solve for x: x = 300 - 210.
Step 7: Calculate the value of x: x = 90.
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