15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container S?  Choose the correct option
A) A:45	B) B:25	C) C:37.5	D) D:36	E) E:42
If you have a 37.5 liter capacity, you start with 37.5 L of A and 0 L of B.   1st Replacement   After the first replacement you have 37.5-15= 
<gadget id="calculator">37.5-15</gadget>
<output>22.5</output>
22.5 L of A and 15 L of B. The key is figuring out how many liters of A and B, respectively, are contained in the next 15 liters of mixture to be removed.   The current ratio of A to total mixture is 22.5/37.5; expressed as a fraction this becomes (45/2) / (75/2), or 45/2 * 2/75. Canceling the 2s and factoring out a 5 leaves the ratio as 9/15. Note, no need to reduce further as we're trying to figure out the amount of A and B in 15 L of solution. 9/15 of A means there must be 6/15 of B.   Multiply each respective ratio by 15 to get 9 L of A and 6 L of B in the next 15L removal.   Final Replacement   The next 15L removal means 9 liters of A and 6 liters of B are removed and replaced with 15 liters of B. 22.5-9=13.5 liters of A. 15 liters of B - 6 liters + 15 more liters = 24 liters of B.   Test to the see if the final ratio = 9/16; 13.5/24 = (27/2) * (1/24) = 9/16. C:37.5hoice C:37.5 is correct.
<result>C</result>
15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container S?