A contractor had employed 100 labourers for a flyover
construction task. He did not allow any woman to work
without her husband. Also, atleast half the men working came
with their wives.

He paid five rupees per day to each man, four ruppes to each
woman and one rupee to each child. He gave out 200 rupees
every evening.

How many men, women and children were working with the
constructor?

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A contractor had employed 100 labourers for a flyover construction task. He did not allow any woman..

Answer / guest

16 men, 12 women and 72 children were working with the
constructor.

Let's assume that there were X men, Y women and Z children
working with the constructor. Hence,

X + Y + Z = 100

5X + 4Y + Z = 200

Eliminating X and Y in turn from these equations, we get

X = 3Z - 200

Y = 300 - 4Z

As if woman works, her husband also works and atleast half
the men working came with their wives; the value of Y lies
between X and X/2. Substituting these limiting values in
equations, we get

if Y = X,

300 - 4Z = 3Z - 200

7Z = 500

Z = 500/7 i.e. 71.428

if Y = X/2,

300 - 4Z = (3Z - 200)/2

600 - 8Z = 3Z - 200

11Z = 800

Z = 800/11 i.e. 72.727

But Z must be an integer, hence Z=72. Also, X=16 and Y=12

There were 16 men, 12 women and 72 children working with the
constructor.

Is This Answer Correct ?    28 Yes 3 No

A contractor had employed 100 labourers for a flyover construction task. He did not allow any woman..

Answer / shiri

answer would be
2omen,with their wifes thats 20
20*5=100
20*4=80
childrn given 1 rupees so
20chidren

Is This Answer Correct ?    3 Yes 18 No

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