Question

one tank contains 50 gallons of water and another tank contains 75 gallons of water. water is draining out of both tanks at a rate of 6 gallons per minute. do the tanks ever have the same amount of water before either is empty

Answer 1

No

Explanation:

The tanks have separate amounts of starting amounts and they are depleting at the same rate, meaning that they will never be the same.

You can also do it like this:

The volume of the first tank can be modeled by y = x + 50

The volume of the second tank can be modeled by y = x + 75

Now find when they are equal by setting the equations to each other.

x + 50 = x + 75

x = x + 25

0 = 25

This equation has no solution