A certain number of chocolates are divided among a group of 60 students and 2 teachers in such a way that each male and female students get 6 chocolates and each teacher gets 20 chocolates and the difference between the total chocolates divided between all male and female students is 60. Find the total number of chocolates distributed.a)400b)360c)325d)430e)None of theseCorrect answer is option 'A'. Can you explain this answer?

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A certain number of chocolates are divided among a group of 60 students and 2 teachers in such a way that each male and female students get 6 chocolates and each teacher gets 20 chocolates and the difference between the total chocolates divided between all male and female students is 60. Find the total number of chocolates distributed.

a)
400
b)
360
c)
325
d)
430
e)
None of these

Correct answer is option 'A'. Can you explain this answer?

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Most Upvoted Answer

A certain number of chocolates are divided among a group of 60 studen...

Given:
- There are 60 students and 2 teachers.
- Each male and female student receives 6 chocolates.
- Each teacher receives 20 chocolates.
- The difference between the total chocolates given to male and female students is 60.

To find:
The total number of chocolates distributed.

Solution:
Let's assume the number of male students is M and the number of female students is F.

Distribution of chocolates:
- Each male student receives 6 chocolates, so the total number of chocolates given to male students is 6M.
- Each female student receives 6 chocolates, so the total number of chocolates given to female students is 6F.
- Each teacher receives 20 chocolates, so the total number of chocolates given to teachers is 20 * 2 = 40.

According to the given information, the difference between the total chocolates given to male and female students is 60:
6M - 6F = 60

Simplifying the equation, we get:
M - F = 10 ...(1)

Since the total number of students is 60, we have:
M + F = 60 ...(2)

Solving equations (1) and (2) simultaneously, we can find the values of M and F.

Adding equation (1) and (2):
M - F + M + F = 10 + 60
2M = 70
M = 35

Substituting the value of M in equation (2):
35 + F = 60
F = 25

Calculating the total number of chocolates:
The total number of chocolates given to male students = 6M = 6 * 35 = 210 chocolates
The total number of chocolates given to female students = 6F = 6 * 25 = 150 chocolates
The total number of chocolates given to teachers = 40 chocolates

Therefore, the total number of chocolates distributed = 210 + 150 + 40 = 400 chocolates.

Hence, the correct answer is option A, 400.

Answered by Notes Wala · View profile

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Community Answer

A certain number of chocolates are divided among a group of 60 studen...

Number of male students = x

Number of female students = 60 - x

x * 6 - (60 - x) * 6 = 60

12x = 420

x = 35

Total number of chocolates distributed = 35 * 6 + 25 * 6 + 2 * 20 = 400

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