1.

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?1). 106 : 692). 103 : 723). 89 : 864). 11 : 9

Answer»

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


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