24).JWO vessels contains Two equal quantity mixture of milk and water in the ratio 3:2 and til. Both the mixture 2 now mixed. Find the ratio of milk to water in the ( new mixtur 32 are
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Answer:
Correct option is A)
Let 1st vessel contains x liters of mixture of milk and water.
Milk in 1st vessel =
13
4
x
Water in 1st vessel=
13
9
x
Let 2nd vessel contains Y liters of mixture of milk and water
Milk in 2nd vessel =
9
2
y
Water in 2nd vessel =
9
7
y
Let the two mixture combine such that the milk to water ratio is 2:5
13
9x
+
9
7y
13
4x
+
9
2y
=
5
2
81x+91y
36x+26y
=
5
2
180x+130y=162x+182y
18x=52y
y
x
=
9
26
Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5
Hence, option (A) is correct answer.
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