SOLUTION: Hi there is some water in 2 tanks A and B. The ratio of thd volume of water in tank A to tank B is 4:3. 0.8 litres of water is added and fills tank A completely. There is now t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi there is some water in 2 tanks A and B. The ratio of thd volume of water in tank A to tank B is 4:3. 0.8 litres of water is added and fills tank A completely. There is now t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1101542: Hi
there is some water in 2 tanks A and B. The ratio of thd volume of water in tank A to tank B is 4:3.
0.8 litres of water is added and fills tank A completely. There is now twice as much water in A than in B. The total volume of tank A is 1/4 the total volume of B when it is filled to the brim. How much more water is needed to fill B to its brim.
thanks
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +V+ = the total volume of tank B
+%281%2F4%29%2AV+ = the total volume of tank A
Let +v%5BA%5D+ = volume of water initially in tank A
Let +v%5BB%5D+ = volume of water initially in tank B
----------------------------------------------
+v%5BA%5D+%2F+v%5BB%5D+=+4%2F3+
+v%5BB%5D+=+%283%2F4%29%2Av%5BA%5D+
-------------------------
+v%5BA%5D+%2B+.8+=+%281%2F4%29%2AV+
+v%5BA%5D+%2B+.8+=+2%2Av%5BB%5D+
+v%5BA%5D+%2B+.8+=+2%2A%283%2F4%29%2Av%5BA%5D+
+v%5BA%5D+%2B+.8+=+%283%2F2%29%2Av%5BA%5D+
+%281%2F2%29%2Av%5BA%5D+=+.8+
+v%5BA%5D+=+1.6+
and
+v%5BB%5D+=+%283%2F4%29%2Av%5BA%5D+
+v%5BB%5D+=+%283%2F4%29%2A1.6+
+v%5BB%5D+=+1.2+
-----------------------
+v%5BA%5D+%2B+.8+=+%281%2F4%29%2AV+
+1.6+%2B+.8+=+%281%2F4%29%2AV+
+2.4+=+%281%2F4%29%2AV+
+V+=+9.6+
------------------------
+V+-+v%5BB%5D+=+9.6+-+1.2+
+V+-+v%5BB%5D+=+8.4+
------------------------
8.4 liters of water is needed
to fill B to the brim
-----------------------------
Definitely get a 2nd opinion unless
you don't need to
( hope that big V and little v do not
confuse you )