The ratio of alcohol and water in vessels A and B are 3:7 and 4:11, respectively. Five litres and 7
solutions from vessels A and B. respectively are mixed in vessel C. What is the ratio of water and alcohol in
the solution in C?
Answers
Given : The ratio of alcohol and water in vessels A and B are 3:7 and 4:11, respectively.
5 litres and 7 litres solutions from vessels A and B. respectively are mixed in vessel C.
To Find : Ratio of water and alcohol in the solution in C?
Solution:
The ratio of alcohol and water in vessels A = 3 : 7
Solution Taken = 5 litre
=> Alcohol = ( 3/10) * 5 = 1.5 litre
Water = 5 - 1.5 = 3.5 litre
The ratio of alcohol and water in vessels B = 4 : 11
Solution Taken = 7 litre
=> Alcohol = ( 4/15) *7 = 28/15 litre
Water = ( 11/15) *7 = 77/15 litre
Total water = 3.5 + 77/15 = 7/2 + 77/15
= ( 105 + 154) /30
= ( 259)/30
Total alcohol = 1.5 + 28/15 = 3/2 + 28/15
= ( 101) / 30
ratio of water and alcohol in the solution in C
( 259)/30 : ( 101) / 30
= 259 : 101
ratio of water and alcohol in the solution in C = 259 : 101
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