When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank's capacity. what was the tank's capacity? (1) before the 200 gallons were removed, the volume of oil in the tank was 1/2 of the tank's capacity?

Step-by-step explanation:

"When 200 gallons of oil were removed from a tank" algebraically looks like this:

V - 200.

" ... the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:

3/7 (V)

Therefore, the equation is

V - 200 = 3/7 (V)

Begin by multiplying both sides by 7:

7 (V - 200) = 3V and

7V - 1400 = 3V so

-1400 = - 4V so

V = 350 gallons

That's if the volume of the oil in the tank was 3/7 of the tank's capacity.

For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:

V - 200 = 1/2 (V)

Multiplying both sides by 2 gives you

2 (V - 200) = V and

2V - 400 = V so

-400 = - V so

V = 400