Question

3 men and 4 women can earn 3780 in 7 days 11 men and 13 women can earn 15040 in 8 days in what time will 7 men and 9 women earn 12400

Answer 1

Answer:

answer is below

Step-by-step explanation:

Let,men be x and

women be y

3x+4y=3780/7

3x+4y=540

x=(540-4y)/3

11x+13y=1880

11(540-44y)/3+13y=1880

(5940-44y+39y)/3=1880

5940-5y=5640

5y=5940-5640

5y=300

y=60

x=(540-4y)/3

x=(540-240)/3

x=300/3

x=100

let days be z

7x+9y=12400/z

700+540=12400/z

1240=12400/z

z=12400/1240

z=10

for 10 days 12400 for 7 man and 9 woman paid

Answer 2

It takes approximately 15 days to do so.

Step-by-step explanation:

Since we have given that

3 men and 4 women earn = Rs. 3780

Number of days = 7

11 men and 13 women earn = Rs. 15040

Number of days = 12400

According to question, it becomes,

$\dfrac{(3M+4W)\times 7}{3780}=\dfrac{(11M+13W)\times 8}{15040}\\\\\dfrac{3M+4W}{540}=\dfrac{11M+13W}{1880}\\\\\dfrac{3M+4W}{54}=\dfrac{11M+13W}{188}\\\\188(3M+4w)=54(11M+13w)\\\\564M+752W=594M+702W\\\\752W-702W=594M-564M\\\\50W=30M\\\\5W=3M$

Now, we need to find the days for 7 men and 9 women earn in 12400

$\dfrac{3M+4W\times 7}{3780}=\dfrac{7M+9W\times x}{12400}\\\\\dfrac{3M+4W}{540}=\dfrac{7M+9W\times x}{12400}\\\\\dfrac{3M+4W}{54}=\dfrac{7M+9W\times x}{1240}\\\\\dfrac{5W+4W}{54}=\dfrac{\dfrac{21W}{5}+9W\times x}{1240}\\\\\dfrac{9W}{54}=\dfrac{66W\times x}{1240}\times 5}\\\\\dfrac{1}{6}=\dfrac{66\times x}{1240\times 5}\\\\x=\dfrac{1240\times 5}{66\times 6}\\\\x=15.66$

Hence, it takes approximately 15 days to do so.

# learn more:

3man 4 women in 7 day paid on 3780 and 11 man 13 women in 8days paid on 15040 in which days paid on 12400 on 7 man and 9 women

https://brainly.in/question/2844795