SOLUTION: The depth of a pool varies directly with how many gallons of water it will hold. If a 6 foot deep pool holds 10,000 gallons of water, a pool that holds 12,500 gallons of water shou

Algebra ->  Real-numbers -> SOLUTION: The depth of a pool varies directly with how many gallons of water it will hold. If a 6 foot deep pool holds 10,000 gallons of water, a pool that holds 12,500 gallons of water shou      Log On


   

Question 156862: The depth of a pool varies directly with how many gallons of water it will hold. If a 6 foot deep pool holds 10,000 gallons of water, a pool that holds 12,500 gallons of water should be __________inches deep, according to this theory. ??
Found 2 solutions by mathmaster, jim_thompson5910:
Answer by mathmaster(1) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We have the follow ratio: 



number of gallons of pool # 1       number of gallons of pool # 2
---------------------------    =   -------------------------------
    depth of pool # 1                     depth of pool # 2



10000%2F6=12500%2Fx Plug in the given information


%2810000%2F6%29%2Ax=12500 Multiply both sides by x


10000%2Ax=12500%2A6 Multiply both sides by 6


10000%2Ax=75000 Multiply


x=75000%2F10000 Divide both sides by 10000


x=7.5 Divide


So a pool that is 7.5 feet deep will hold 12,500 gallons of water