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A tank starts out with 860 gallons of liquid. A pump adds liquid to the tank at a constant rate. After 8 hours, the tank contains 1,036 gallons. How many gallons of liquid were pumped per hour?




18


22


176


237

Verified Answer :

zionhedlund

The answer is 22. if it started with 860 and in 8 hours it has 1036 then you would subtract 1036 - 860 which is 176 and that divided by 8 is 22. hope that helps. :)

Answer:

B. 22

Step-by-step explanation:

Let x represent number of gallons per hour.

We have been given that a pump adds liquid to the tank at a constant rate. The number of gallons added after 8 hours would be \(8x\).

We are also told that the tank starts out with 860 gallons of liquid. So total amount of liquid after 8 hours would be \(8x+860\).

The total amount of liquid in the tank after 8 hours is 1,036, so we can represent this information in an equation as:

\(8x+860=1,036\)

\(8x+860-860=1,036-860\)

\(8x=176\)

\(\frac{8x}{8}=\frac{176}{8}\)

\(x=22\)

Therefore, 22 gallons of liquid were pumped per hour.

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