Question

A water tank holds 684 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 912 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answer 1

No They Will Not Be The Same Amount Of Weeks.

Explanation:

No They Will Not Be The Same ammount of week.

The Water Tank With 684 Gallons Will empty before the one that holds 912.

It will take the 684 171 weeks.

And the 912 about 130 weeks.

Answer 2

76 weeks

Explanation:

Let's write an equation for both tank. Let A be tank 1 and let B be tank 2.

So, Tank A already holds 684 galloons but is leaking at 4 galloons per week. In other words, after x weeks, the total amount of galloons Tank A holds is:

`A=684-4x`

Tank B holds 912 galloons but is leaking at 7 galloons per week. So, after x weeks, the amount of galloons Tank B holds is:

`B=912-7x`

To find out after how many weeks will the galloons in the two tanks be equivalent, set the two equations equal to each other and solve for x:

`684-4x=912-7x`

Add 7x to both sides. The right cancels:

`684+3x=912`

Subtract 684 from both sides:

`3x=228`

Divide both sides by 3:

`x=76`

So, the amount of water in the two tanks will be identical after 76 weeks.

Let's check, after 76 weeks, the amount of water left in Tank A is:

`684-4(76)=380`

And in Tank B:

`912-7(76)=380`

So, we're correct!

And we're done!