Question

There are 100 mangoes in a basket the population is 100, for one man gives four fruits, for one woman two fruits, for four children one fruit, but how many men, women and children? Just one count of fun​

Answer 1

Answer: 6 men, 30 women, and 64 children

Step-by-step explanation:

6 men = 24 mangoes

30 women = 60 mangoes

64 children = 16 mangoes

Total population (100) Total mangoes(100)

6 Men * 4 = 24 Mangoes

30 Women * 2 = 60 Mangoes

64 Children \ 4 = 16 Mangoes

100 Population = 100 Mangoes

Answer 2

Given data:

• According to the given question, there are 100 mangoes in a basket.
• The population is 100 people.
• However, one gave four fruits to a man, two fruits to a woman, and one fruit to four children.

To find:

How many men, women, and children were there?

Solution:

For a while, the total number of men who took the fruits be 'x' and the number of females be 'y'.

Then, the number of children becomes 100 - (x + y).

The equation that comes when these are arranged in the order given is:

4x + 2y + [(100 - (x + y)) / 4] = 100

16x + 8y + 100 - x - y = 100 * 4

15x + 7y = 400 - 100

15x + 7y = 300

The rephrased equation will be

x = (300 - 7y) / 15

Since there are two unknown variables ​​here, we need to see which values ​​should be placed in the 'y' position, such that the equation is completely divided and gives a natural number as an output.

The resulting x,y pairs are: [without 0]

If y = 15 then x = 13.

If y = 30 then x = 6.

On substitution, the possible answers that we found here are:

Answer 1:

Number of females: 15

Number of males: 13

Number of children: 72

Or

Answer 2:

Number of females: 30

Number of males: 6

Number of children: 64

Learn more:

1. There are 100 mangoes in a gampa, the population is also 100, one is given four teeth per man, two teeth per woman, one fruit per four children, but how many men, women, and children? A calculation for a while of fun

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2. There are 100 mangoes in a gampa, the population is 100, one man gives four teeth, one woman two teeth, four children one fruit, but how many men, women, and children?

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