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Raju distributed some chocolates to 16 students. The average number of chocolates received by each student is 6. The number of students who received 7 chocolates is thrice the number of students who received 3 chocolates. No student received any other number of chocolates except 3 and 7. How many students received 7 chocolates?
  • a)
    14
  • b)
    12
  • c)
    16
  • d)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Raju distributed some chocolates to 16 students. The average number of...
Total number of chocolates = 16 x 6 = 96 Let the number of students who received 3 chocolates = x The number of students who received 7 chocolates = 3x Total number of students = x + 3x = Ax = 16 
x = 4
The number of students who received 7 chocolates = 3 x 4 = 12
Hence, option 2.
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Most Upvoted Answer
Raju distributed some chocolates to 16 students. The average number of...
Given:
- Raju distributed chocolates to 16 students.
- The average number of chocolates received by each student is 6.
- The number of students who received 7 chocolates is thrice the number of students who received 3 chocolates.
- No student received any other number of chocolates except 3 and 7.

To find:
How many students received 7 chocolates?

Solution:

Let's assume that the number of students who received 3 chocolates is 'x'.
According to the given condition, the number of students who received 7 chocolates is three times 'x'.

1. Total number of chocolates:
The average number of chocolates received by each student is 6.
Therefore, the total number of chocolates distributed by Raju = Average * Number of students
Total number of chocolates = 6 * 16 = 96

2. Number of students who received 3 chocolates:
Let's assume that the number of students who received 3 chocolates is 'x'.
Therefore, the number of chocolates distributed to these 'x' students = 3 * x

3. Number of students who received 7 chocolates:
According to the given condition, the number of students who received 7 chocolates is three times 'x'.
Therefore, the number of chocolates distributed to these students = 7 * 3 * x = 21x

4. Equation:
The total number of chocolates distributed = Number of chocolates distributed to students who received 3 chocolates + Number of chocolates distributed to students who received 7 chocolates
96 = 3x + 21x
96 = 24x
x = 4

Therefore, the number of students who received 7 chocolates = 3 * x = 3 * 4 = 12.

Hence, the correct answer is option B) 12.
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Raju distributed some chocolates to 16 students. The average number of chocolates received by each student is 6. The number of students who received 7 chocolates is thrice the number of students who received 3 chocolates. No student received any other number of chocolates except 3 and 7. How many students received 7 chocolates?a)14b)12c)16d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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