Question

if 3 men with 4 boys earn 2700 in 4 days and 2 men with 3 boys earn 1900 in the same time, in what time will 4 men and 4 boys earn 8000 ?

NOTE : THE QUESTION IS FOR 45 POINTS EACH.

Answer 1

I hope this helps.
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Answer 2

$\boxed{ \fcolorbox{red}{aqua}{Hello!!!}}$

If 3 men with 4 boys earn 2700 in 4 days and 2
men with 3 boys earn 1900 in the same time, in what time will 4 men and 4 boys earn 8000 ?

$\boxed{\boxed{Solution:-}}$

Let the salary given for a single man's work on a day be M. 

The salary given for a boy for one day's work be B. 

Therefore, (3*M+4*B)*4= Rs. 2700 
=> 12M+16B=Rs. 2700 
Also, (2*M+3*B)*4=Rs. 1900 
=> 8M+12B=Rs. 1900 
Solving the above two equations, 
B=75 
M=125 

Now we have to find the no of days for 4 men and 4 boys to get 8000 rupees.

Let the no of days be assumed as x. 
therefore, (4M+4B)*x= Rs. 8000 
=>(4*125+4*75)*x= 8000 
=>800*x= 8000 

^_^ X= 10 days

Ans--4 men and 4 boys will take 10 days to earn Rs.8000.

$\boxed{ \boxed{ \texttt{Hope It Helps!!}}}$