Discussion :: Alligation or Mixture
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A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
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Answer : Option C
Explanation :
Suppose the can initially contains 7x and 5x of mixtures A and B respectively.
Quantity of A in mixture left = [ 7x - \(\frac { 7 } {1 2 } \) x 9] litres =[7x - \(\frac { 21 } {4 } \)]litres
Quantity of B in mixture left =[ 5x -\(\frac { 5} {1 2 } \) x 9 ]litres=[5x -\(\frac { 15} {4} \)]litres
\(\frac { (7X-21/4 )} { (5X-15/4)+9 }\) = \( \frac { 7 } { 9 } \)
\(\frac { 28X-21 } { 20X+21 }\) =\( \frac { 7 } { 9 } \)
252x - 189 = 140x + 147
112x = 336
x = 3.
So, the can contained 21 litres of A.
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