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.Com
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)   (Show Source): You can put this solution on YOUR website!
7.2
Answer by jim_thompson5910(35256)   (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






Plug in the given information


Multiply both sides by x


Multiply both sides by 6


Multiply


Divide both sides by 10000


Divide


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

RELATED QUESTIONS

Hi I need help with this problem The depth of a pool varies directly with how many... (answered by stanbon)
The depth of a pool varies directly with how many gallons of water it will hold. If a 6... (answered by checkley71)
A swimming pool measures 30 Ft.long,15 ft. wide and is filled to an average depth of 4... (answered by checkley77)
A backyard swimming pool has a radius of 19-ft and depth of 4-ft. How many gallons of... (answered by ikleyn)
A rectangular lap pool is filled with water to a depth of 5 feet. If the pool is 6 feet... (answered by nerdybill)
A swimming pool is 15 by 30 feet and a consistent 5 feet deep. You are painting the walls (answered by Cromlix)
a rectangular reflecting pool with a horizontal bottom holds 60,000 gallons of water.if... (answered by ewatrrr)
Hassan's backyard swimming pool is 30 feet long, 20 feet wide, and 5 feet deep. There are (answered by ewatrrr)
Jill has a swimming pool in her backyard. It is shaped like a rectangle and measures... (answered by macston)