SOLUTION: a pool is filling up with water at a constant rate and began by being partially filled. After two hours of filling the pool had 573 gallons in it and after five hours of filling it

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Question 927718: a pool is filling up with water at a constant rate and began by being partially filled. After two hours of filling the pool had 573 gallons in it and after five hours of filling it had 945 gallons in it. How many gallons were in the pool when it first began filling?
Found 2 solutions by brysca, MathTherapy:
Answer by brysca(112) About Me  (Show Source):
You can put this solution on YOUR website!
solution posted below
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hope this helps!

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

filled. After two hours of filling the pool had 573 gallons in it and after five hours of filling it had 945 gallons in it. How many gallons were in the pool when it first began filling?
Let initial amount of water in pool be I, and filling rate, per hour, be R

In 2 hours, 2R gallons is added

It can be said then, that initial amount of water, plus added amount from hose, equals total in pool at that point, OR:

         I + 2R =       573 ------- eq (i)

Also, I + 5R =       945 ------- eq (ii) 

   – 5I – 10R = – 2,865 ------- Multiplying eq (i) by – 5 ----- eq (iii)

     2I + 10R =    1,890 ------- Multiplying eq (ii) by 2 ------- eq (iv) 

             – 3I =    – 975 ------ Adding eqs (iv) & (iii)

I, or initial amount in pool = %28-+975%29%2F%28-+3%29, or highlight_green%28325%29 gallons

You can do the check!! 

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