Three mixture contains milk and water in the ratio 2:3, 4:3 and 1:2 respectively. If one litre of mixtureis taken from each, then find the ratio of milk and water in new mixture.
Answers
Answer:
I assume that the required ratio is of water to milk in the final mixture after the first 3 are combined. This is not clear to me in the wording of the question.
Mixture 1 has 3 parts, 1 + 2 = 3
Mixture 2 has 5 parts, 2 + 3 = 5
Mixture 3 has 7 parts, 3 + 4 = 7
The LCM of 3, 5 & 7 is 3 x 5 x 7 = 105
For the solution, assume each mixture contains 105 units.
Mixture 1 ratio is 1:2 or 35:70 and 35 + 70 = 105
Mixture 2 ratio is 2:3 or 42:63 and 42 + 63 = 105
Mixture 3 ratio is 3:4 or 45:60 and 46 + 60 = 105
Sum these units in the final mixture
35+42+46 to 70+63+60
= 122:193 and 122+193 = 315 = 3(105)
The ratio in the mixture is 122:193
as a fraction this is 122/315 = 0.3873
the original mixtures as fractions are 0.33, 0.4 and 0.4286
so 0.3873 looks reasonable.
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hope this helps! <3
Answer:
I assume that the required ratio is of water to milk in the final mixture after the first 3 are combined. This is not clear to me in the wording of the question.
Mixture 1 has 3 parts, 1 + 2 = 3
Mixture 2 has 5 parts, 2 + 3 = 5
Mixture 3 has 7 parts, 3 + 4 = 7
The LCM of 3, 5 & 7 is 3 x 5 x 7 = 105
For the solution, assume each mixture contains 105 units.
Mixture 1 ratio is 1:2 or 35:70 and 35 + 70 = 105
Mixture 2 ratio is 2:3 or 42:63 and 42 + 63 = 105
Mixture 3 ratio is 3:4 or 45:60 and 46 + 60 = 105
Sum these units in the final mixture
35+42+46 to 70+63+60
= 122:193 and 122+193 = 315 = 3(105)
The ratio in the mixture is 122:193
as a fraction this is 122/315 = 0.3873
the original mixtures as fractions are 0.33, 0.4 and 0.4286
so 0.3873 looks reasonable.
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