Question

if there are 20 apples and 20 people . 1 man eat 4 apples, 1 woman eat 1/2 apples and 1 child eat 1/4 apples. So, find the total number of (i) men (ii) women (iii) children ​

Answer 1

1 man= 4 apple

2 women= 1 apple

4 children=1 apple

3 men =12 apples

15 women =7.5 apples

2 children =0.5 apples

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Answer 2

Given :

Total number of apples = 20

Total number of people = 20

Number of apples eaten by each man = 4

Number of apples eaten by each women = $\dfrac{1}{2}$

Number of apples eaten by each child = $\dfrac{1}{4}$

To find : Number of men =? women = ? child = ?

Solution :

Let the number of men be 'x'

Let the number of women be 'y'

Let the number of child be 'z'.

According to question, it becomes :

$x+y+z=20\\\\4x=\dfrac{1}{2}\times y=\dfrac{1}{4}\times z=k\\\\ x=\dfrac{k}{4}\\\\y=2k\\\\z=4k$

So, it becomes :

$x+y+z=20\\\\\dfrac{k}{4}+2k+4k=20\\\\\dfrac{k}{4}+6k=20\\\\\dfrac{k+24k}{4}=20\\\\\dfrac{25k}{4}=20\\\\k=\dfrac{80}{25}=3.2$

So,

$\dfrac{k}{4}=\dfrac{3.2}{4}=0.8\approx 1\\\\2k=2\times 3.2=6.4=6\\\\ 4k=4\times 3.2=12.8=13$

Hence, there are 1 men, 5 women and 13 children.