Answered

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A tank holds 800 gallons of water. The gauge indicates that the tank is 3/4 full. Then 100 gallons are drained from the tank to fill a pool 7/8 full. Then 1/3 of a tank of water is added back into the tank. What fraction of the tank is filled with water?

Sagot :

ANSWER

23/24 of the tank is filled with water

EXPLANATION

The tank can hold 800 gallons of water and you have 3/4 full:

[tex]800\times\frac{3}{4}=600[/tex]

The tank has 600 gallons of water. Then you drain 100 gallons, so now you have 500 gallons of water in the tank.

Then, you add 1/3 of a tank. If one tank can hold 800 gallons, 1/3 of a tank is:

[tex]800\times\frac{1}{3}=266\frac{2}{3}[/tex]

Therefore, you have 266 2/3 plus 500 gallons you had before:

[tex]500+266\frac{2}{3}=\frac{2300}{3}[/tex]

To find what fraction of the tank that represents we have to divide it by 800:

[tex]\frac{2300}{3}\colon800=\frac{23}{24}[/tex]

23/24 of the tank is filled with water.

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