Question

if 3 men with 4 boys can earn rs 210 in 7 days,and 11 men with 13 boys can earn rs 830 in 8 days, in what time will 7 men with 9 boys earn rs 1100?

Answer 1

The answer is sixteen. This is the right answer.

Answer 2

Answer:

In 16 days

Step-by-step explanation:

According to the question

Let men = m and boys = b

Then,

3m + 4b = 210 rupees in 7 days

3m .+ 4b = 30 rupees in 1 days          [equation 1]

Also,

11m + 13b = 830 rupees in 8 days

11m + 13b = 103.75 rupees in 1 days       [equation 2]

Multiple equation 2 by 4 and equation 1 by 13 after that subtracting both

44m + 52b = 415

39m + 52b = 390

-        -            -

5m = 25

m = 5

Putting the value of m in equation 1

15 + 4b = 30

b = 3.75 rupees per day

Then

7m + 9b = 7(5) + 9(3.75)

7m + 9b = 68.75 rupees in one day

So, days = $\frac{1100}{68.75}$

days = 16

Hence, 7 men with 9 boys earn rs 1100 in 16 days.