Question

3 men and 4 boys can earn rs756 in
7 days. 11 men and 13 boys can earn
rs3008 in 8 days. In what time will
7 men with 9 boys earn rs 2480?​

Answer 1

Answer:

10 days

Step-by-step explanation:

let number of men be x

number of boys be y

3 men and 4 boys earn 756 in 7 days

3 men and 4 boys earn in 1 day

= 756/7

= 108

3x + 4y = 108 equ (1)

11 men and 13 boys earn 3008 in 8 days

11 men and 13 boys earn in 1 day

= 3008/8

= 376

11x + 13y = 376 equ (2)

multiply equ (1) with 11 and equ (2) with 3

33x + 44y = 1188

33x + 39y = 1128

subtracting we get

5y = 60

y = 60/5 = 12

substitute y = 12 in equ (1)

3x + 4y = 108

3x + 4(12) = 108

3x + 48 = 108

3x = 108 - 48

3x = 60

x = 60/3 = 20

7x + 9y = 2480/number of days

7(20) + 9(12) = 2480/d

140 + 108 = 2480/d

248 × d = 2480

d = 2480/248

d = 10

7 men and 9 boys should work 10 days to earn 2480

hope you get your answer