2/5 Part of a mixture of 3 l is water and the rest is sugar syrup. Ano...
Assume,
1) Mixture 1: mixture of 2/5 part water & rest sugar syrup.
2) Mixture 2: mixture of 3/5 part water & rest sugar syrup.
3) Mixture 3: mixture of mixture 1 & mixture 2.
Amount of water and sugar syrup in different mixtures are represented in tabulated form for better understanding.
∴ The ratio of water & sugar syrup in the new mixture = 6:5
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2/5 Part of a mixture of 3 l is water and the rest is sugar syrup. Ano...
To find the ratio of water in the mixture, we need to find the total amount of water in the mixture and the total amount of syrup.
In the first mixture of 3 liters, 2/5 part is water. So, the amount of water in this mixture is (2/5) * 3 = 6/5 liters.
The remaining part of the first mixture is sugar syrup, which is (1 - 2/5) * 3 = 3/5 liters.
In the second mixture of 8 liters, 3/5 part is water. So, the amount of water in this mixture is (3/5) * 8 = 24/5 liters.
The remaining part of the second mixture is sugar syrup, which is (1 - 3/5) * 8 = 32/5 liters.
Therefore, the total amount of water in the mixture is 6/5 + 24/5 = 30/5 = 6 liters.
And the total amount of sugar syrup in the mixture is 3/5 + 32/5 = 35/5 = 7 liters.
The ratio of water to sugar syrup in the mixture is 6:7.