There are 20 pieces of bread to divide among 20 people. A man eats 3 pieces, woman eats 2 pieces and a child eats half piece of bread. Tell the correct combination of men, women and children so that they are 20 people in total and everyone gets the bread. Note that a man cannot eat less than 3 or more than 3. A woman cannot eat less than 2 or more than 2 and the child cannot eat less than half or more than half piece of the bread. You have to tell there are how may are men, women and children in those 20 people.

general knowledge math & puzzles

  1. There are 5 women, 1 man and 14 children.

  2. There are 6 women, 2 man and 12 children.

  3. There are 3 women, 2 man and 15 children.

  4. There are 7 women, 1 man and 12 children.

Show answer
Correct Option: A
Explanation:

To solve this question, the user needs to know basic arithmetic and the concept of division. The user must divide the 20 pieces of bread among the given constraints of men, women, and children, and then check if the distribution satisfies the given conditions.

Let's calculate the total number of pieces eaten by each group:

  • A man eats 3 pieces, so 1 man eats 3 pieces.
  • A woman eats 2 pieces, so n women eat 2n pieces.
  • A child eats half a piece, so m children eat 0.5m = m/2 pieces.

The total number of pieces eaten is:

3 + 2n + m/2

We want this to be equal to the total number of pieces of bread, which is 20. So we have:

3 + 2n + m/2 = 20

Multiplying both sides by 2, we get:

6 + 4n + m = 40

Subtracting 6 from both sides, we get:

4n + m = 34

We know that there are 20 people in total. Let's substitute the value of m in terms of n into this equation:

4n + m = 34

4n + 2m/2 = 34

4n + 2m = 68

2n + m = 34

m = 34 - 2n

Substituting this value of m in terms of n into the equation we got earlier:

3 + 2n + m/2 = 20

3 + 2n + (34 - 2n)/2 = 20

3 + 2n + 17 - n = 20

n = 5

So there are 5 women. Substituting this value of n into the equation we got earlier:

4n + m = 34

4(5) + m = 34

m = 14

So there are 14 children. And from the equation:

3 + 2n + m/2 = 20

3 + 2(5) + 14/2 = 20

So there is 1 man. Therefore, the correct option is:

The Answer is: A. There are 5 women, 1 man and 14 children.

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