SOLUTION: Hi a container with base 60cm by 40cm and a height of 25cm was 4/5 filled with water. Some of the water was removed causing the water level to fall by 5cm. The remaining water was

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi a container with base 60cm by 40cm and a height of 25cm was 4/5 filled with water. Some of the water was removed causing the water level to fall by 5cm. The remaining water was      Log On

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Question 1105323: Hi
a container with base 60cm by 40cm and a height of 25cm was 4/5 filled with water. Some of the water was removed causing the water level to fall by 5cm. The remaining water was then poured into a tank and a basin, filling them to the brims. Tne capacity of the basin was 1/3 of the tank. If the tank was 18cm long 15cm wide what was the height of the water in the tank.
thanks
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Volume of original container: 60%2A40%2A25+=+60000
(2) Volume of water in original container: %284%2F5%29%2A60000+=+48000
(3) Volume of water removed from original container: 60%2A40%2A5+=+12000
(4) Volume of water remaining in original container: 48000-12000+=+36000
The volume of the tank is 3 times the volume of the basin; so 3/4 of the water goes into the tank and 1/4 into the basin.
(5) Volume of water poured into the tank: %283%2F4%29%2A36000+=+27000
Let x be the height of the tank. The volume of the tank has to be 27000:
18%2A15%2Ax+=+27000
270x+=+27000
x+=+100

The height of the water in the tank is the height of the tank, because the tank is full.

The height of the water in the tank is 100 cm.