In three vessels, the ratio of water and milk is 6 : 7, 5 : 9 and 8 : 7, respectively. If the mixture of the three vessels is mixed, then what will be the ratio of water and milk?
(a) 2431 : 3781
(b) 3691 : 4499
(c) 4381 : 5469
(d) 5469 : 3691
(e) None of the above
Answers
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your ans is a 2431:3781
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Answer:
the ratio of water and milk in the mixture is option b) 3691 : 4499
Step-by-step explanation:
Quantity of water in vessel A = 6/13
Quantity of water in vessel B = 5/14
Quantity of water in vessel C = 8/15
hence, total quantity of water in the mixture,
= 6/13 + 5/14 + 8/15
= (1260 + 975 + 1456)/2730
= 3691/2730
Quantity of milk in vessel A = 7/13
Quantity of milk in vessel B = 9/14
Quantity of milk in vessel C = 7/15
hence, total quantity of milk in the mixture,
= 7/13 + 9/14 + 7/15
= (1470 + 1755 + 1274)/2730
= 4499/2730
so ratio of water and milk
= (3691/2730) : (4499/2730)
= 3691 : 4499
Hence the ratio of water and milk in the mixture is option b) 3691 : 4499
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