There are two mixtures of honey and water in which the ratio of honey and water is 1 : 3 and 3 : 1 respectively. Two litres are drawn from… — Answer & Discussion

There are two mixtures of honey and water in which the ratio of honey and water is 1 : 3 and 3 : 1 respectively. Two litres are drawn from the first mixture and 3 litres from the second mixture, and it is mixed to form another mixture. What is the ratio of honey and water in it?

A106 : 69
B103 : 72
C89 : 86
D11 : 9

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Discussion 1

CCommunity31 May 2019

The percentage of honey in the first mixture = 1/4 × 100 = 25%

The percentage of honey in the second mixture = 3/4 × 100 = 75%

Given that, 2 litres are drawn from the first mixture and 3 litres from the second mixture, then

Percentage of honey in the new mixture $(= \frac{{2\; \times \;25\; + \;3\; \times \;75}}{5}\; = \frac{{275}}{5} = 55\% )$

Then, the ratio of honey and water in the new mixture would be 55 : (100 – 55) = 55 : 45 = 11 : 9