Question

There are 100 mangoes in a basket,and the population of a village is 100, if one man gets four mangos, and one woman gets two mangos and for four children will get one mango, the question is how many men, women and children are there.

Answer 1

Given:

There are 100 mangoes

There are 100 people in the village.

1 man gets 4 mangoes

1 women gets 2 mangoes

4 child gets 1 mango

To FInd:

The number of men, women and children

Solution:

Find the ratio of the mangoes distributed among the 3 groups:

Children : Women : Men = 1/4 : 2 : 4

Multiply by 4:

Children : Women : Men = 1 : 8 : 16

Find the mangoes for 1 part:

Total parts = 1 + 8 + 16

Total parts = 25

25 parts = 100 mangoes

1 part = 100 ÷ 25

1 part = 4 mangoes

Find the share for each group:

Child = 1 part

Child = 4 mangoes

Women = 8 parts

Women = 8 x 4

Women = 32 mangoes

Men = 16 parts

Men = 16 x 4

Men = 64 mangoes

Find the number of each group

Children = 4 mangoes

Number of children = 4 x 4

Number of children = 16

Women = 32 mangoes

Number of women = 32 ÷ 2

Number of women = 16

Men = 64 mangoes

Number of men = 64 ÷ 1

Number of men = 64

Answer: There are 16 children, 16 women and 64 men.

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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