SOLUTION: 1/8 of a rectangular tank is filled with sand. The length and width of the tank is 25 cm and 15 cm respectively. Another 3750 cm3 of sand is poured into the tank, filling it to 3

Algebra ->  Rectangles -> SOLUTION: 1/8 of a rectangular tank is filled with sand. The length and width of the tank is 25 cm and 15 cm respectively. Another 3750 cm3 of sand is poured into the tank, filling it to 3      Log On


   

Question 727367: 1/8 of a rectangular tank is filled with sand. The length and width of the tank is
25 cm and 15 cm respectively. Another 3750 cm3 of sand is poured into the tank,
filling it to 3/4 of its capacity. How much sand was there in the tank initially?
Please help me solve this problem.Thanks in advance
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
I partly solved but did not finish. Here is the progress something short of finishing:

3%2F4-1%2F8 of the tank height is equivalent to 3750 cm^3 of sand. LET h=tank height. You already know length and width.

Letting y = amount of height corresponding to 3750 cm^3 of sand, and using 5/8 of h is equivalent to 3750, 25%2A15%2Ay=3750 and y=%285%2F8%29h. Think carefully about these before you continue reading.

That being understood, find that y=10 cm., and then h=16 cm.

Think, how high would be one-eigth of the way up the tank? How many centimeters?