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Daniel filled 7/12 of a tank with 8 pails of water. Another 4 pails and 3 jugs are needed to fill the tank completely. How many jugs of water can the tank hold?

 Sep 10, 2023
 #1
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Let the capacity of the tank be x jugs. 8 pails fill 7/12 of the tank, so 1 pail fills 7/12 * 1/8 = 7/96 of the tank. 4 more pails and 3 jugs fill the remaining 1/12 of the tank, so 1 jug fills 1/12 - 4/96 = 1/32 of the tank. x * 7/96 = 3 * 1/32 x = 3 * 32/7 = 12.86 jugs. Since the tank can not hold 0.86 jugs, it can hold 12 jugs of water. So the answer is 12

 Sep 10, 2023
 #2
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Daniel filled 7/12 of a tank with 8 pails of water. Another 4 pails and 3 jugs are needed to fill the tank completely. How many jugs of water can the tank hold?  

 

8 pails of water brings the tank level up to 7/12.   

 

4 pails of water is half of 8 pails, so that raises the tank   

level up an additional half of 7/12 which is 7/24.   

 

Those 12 pails have taken the tank level to 7/12 + 7/24 = 21/24..   

 

The last 3 jugs of water adds the last 3/24 to completely fill the tank,   

therefore each jug is 1/24 of a tank.   

 

At 1/24 tank per jug, it would take 24 jugs to fill the tank.   

.

 Sep 10, 2023
 #3
avatar+36915 
+1

4 add'l pails would be 1/2 more of the 8 already in the tank then the tank will be      7/12  +  7/12 * 1/2   =  7/8  full 

   then 1/8 th more of the tank requires 3 jugs  to completely fill it.....       wellll then   8 / 8 of the tank will require   8 * 3 = 24 jugs 

 Sep 10, 2023

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