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Vihaan has marks of 92, 85, and 78 in three mathematics tests. In order to have an average of exactly 87 for the four math tests, he should obtain
  • a)
    93 marks
  • b)
    90 marks
  • c)
    92 marks
  • d)
    91 marks
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Vihaan has marks of 92, 85, and 78 in three mathematics tests. In orde...
Given:
Vihaan's marks in three mathematics tests - 92, 85, and 78
Desired average for four math tests - 87

To find:
The marks that Vihaan should obtain in the fourth math test

Solution:
Let x be the marks that Vihaan should obtain in the fourth math test

According to the formula for average, the sum of all four marks should be:

92 + 85 + 78 + x

And the average of all four marks should be 87. Therefore:

(92 + 85 + 78 + x)/4 = 87

Multiplying both sides by 4, we get:

92 + 85 + 78 + x = 348

Adding the first three marks, we get:

255 + x = 348

Subtracting 255 from both sides, we get:

x = 93

Therefore, Vihaan should obtain 93 marks in the fourth math test to have an average of exactly 87 for all four math tests. Hence, the correct answer is option A.
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Community Answer
Vihaan has marks of 92, 85, and 78 in three mathematics tests. In orde...
Option A is correct
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Vihaan has marks of 92, 85, and 78 in three mathematics tests. In order to have an average of exactly 87 for the four math tests, he should obtaina)93 marksb)90 marksc)92 marksd)91 marksCorrect answer is option 'A'. Can you explain this answer?
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