Liquid mixture
Algebra
Level
3
X can contain a mixture of 2 liquids A and B in the ratio 7:5. when 9 litres of mixture are drawn off and the can is filled with B, the ratio became A to B is 7:9. How many litres of A was contained by the can initially?
28
14
21
35
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1 solution
Let liquid A and B are 7x and 5x litre respectively. Between the drawn off 9 litre A=7x9/12=21/4 litre and B=5x9/12=15/4 litre. But 9 litre of B added the new solution. So, in the new mixture A=7x-21/4 and B=5x-15/4+9=(20x+21)/4. now,(7x-21/4)/ (20x+21)/4=7/9. solving the equation, x=3. so, initially A=7x3=21 litre.