5men and 3 woman earn 850 in 4 days and 2 man and 5 woman earn 690 in 6 days, how much money will a men earn in a day.
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Answered by
4
Answer
RS. 38 will a men earn in a day.
Solution
5men and 3 woman earn 850 in 4 days
From this we get , 5men and 3 woman earn 850/4=212.5 in one day
we can write it as, 5m + 3w= 212.5 -------(1)
2 man and 5 woman earn 690 in 6 days,
2 man and 5 woman earn 690/6 = 115 in one day
So, 2m + 5w =115 (2)
(1) 10m + 6w = 425 -----(3)
(2) 10m + 25w = 575 ----(4)
(4) - (3) w=150/19 = 7.9 = 8 and m=38
RS. 38 will a men earn in a day.
Answered by
3
let M amount earns a man in a day .
W amount earns a woman in a day .
A/C to question,
5 men and 3 women earn 850 in 4 days
e.g., 4(5M + 3W) = 850
or, 10M + 6W = 425......(1)
again, 2men and 5 women earn 690 in 6 days
e.g., 6(2M + 5W) = 690
or, 2M + 5W = 115 .........(2)
from equations (1) and (2),
25W - 6W = 115 × 5 - 425
19W = 575 - 425 = 150
W = 150/19
and M = 1435/38
hence, 1435/38 Rs. will earn a man in a day
W amount earns a woman in a day .
A/C to question,
5 men and 3 women earn 850 in 4 days
e.g., 4(5M + 3W) = 850
or, 10M + 6W = 425......(1)
again, 2men and 5 women earn 690 in 6 days
e.g., 6(2M + 5W) = 690
or, 2M + 5W = 115 .........(2)
from equations (1) and (2),
25W - 6W = 115 × 5 - 425
19W = 575 - 425 = 150
W = 150/19
and M = 1435/38
hence, 1435/38 Rs. will earn a man in a day
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