A fish tank holds 832 gallons but is leaking at a rate of 5 gallons per week. A second fish tank hose 1040 gallons but is leaking any rate of 9 gallons per week after how many weeks with the amount of water in the two fish tanks me the same

Question

Rudy Ali

Mathematics

22 July, 10:55

A fish tank holds 832 gallons but is leaking at a rate of 5 gallons per week. A second fish tank hose 1040 gallons but is leaking any rate of 9 gallons per week after how many weeks with the amount of water in the two fish tanks me the same

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Answers (1)

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Tanner Noble · Answer 1

Within 52 weeks, the amount of water in the two fish tanks will be the same.

Step-by-step explanation:

First, let's make the two equations equal to each other by placing an equal sign.

832 - 5x = 1040 - 9x

Now, that they are equal to each other, we can solve for x.

Okay, so we can move - 5x to the other side by adding both sides with 5x.

832 = 1040 - 4x

Then, subtract 1040 from both sides to move it to the other side.

832 - 1040 = - 208

-208 = - 4x

Lastly, divide both sides by - 4 to get the value of x.

-208/-4 = 52

x = 52