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A fish tank is to be filled with water. Originally, the ratio of water to empty space in the fish tank is 1:5. After 130 gallons of water are added, the ratio is 3:2. How many gallons does the tank contain when completely full?

 Feb 2, 2020
 #1
avatar+20217 
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originally    water to empty   =   w:e   =   1/5       water is   1/(1+5) = 1/6   

 

ADD 130      and water is   3/5     

 

3/5 x    -1/6 x  = 130       x is the amount of water when full

18 /30 x  - 5 /30 x   = 130

13/30 x = 130

x = 300 gallons             check:        50 : 250     =    1:5         180 : 120  =  3:2

 Feb 2, 2020
 #2
avatar+194 
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Thank you, Electric Pavlov, this problem seemed easy to me at first, but I'm not very good at "Counting and Probability". Thank you :D

 Feb 4, 2020

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