Question

If 5 men with 7 boys can earn Rs.127.50 in 6 days and 2 men with 3
boys can earn Rs.35 in 4 days, then find the time in which 7 men with 6
boys will earn Rs.750?​

Answer 1

Answer:

30 days. is the correct answer

Answer 2

Concept Introduction:

Given: $5$ men with $7$ boys can earn $Rs.127.50$ in $6$ days and $2$ men with $3$

boys can earn Rs.$35$ in $4$ days.

To Find:

We have to find the value of, time in which $7$ men with $6$ boys will earn Rs.$750$.

Solution:

According to the problem,

If $5$ men with $7$ boys can earn $Rs.127.50$ in $6$ days-

In one day, $5M+7B=127.5/6$ ____($1$)

⇒$5M+7B=21.25$

If $2$ men with $3$boys can earn Rs. $35$ in $4$ days-

$2M+3B=35/4$

⇒$2M+3B=8.75$_____($2$)

Multiplying ($1$) by $2$ and $(2)$ by $5$

$10M+14B=42.50$

$10M+15B=43.75$

By $(2)-(1)$ we get,

$B=1.25$ and $M=2.5$

Let number of days in which  $7$ men with $6$ boys will earn Rs.$750$ be x

$x(7*2.5+6*1.25)=750$

⇒ $x*25=750$

⇒$x=30$ days.

Final Answer:

The value of time in which $7$ men with $6$ boys will earn Rs.$750$ is $30$ days.

#SPJ2