Question

When four gallons are added to a tank that is one-third full, the tank is then one-half full. What is the capacity of the tank in gallons?

Answer 1

The capacity of the tank in gallons is 24 gallons.

What is an Equation ?

An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.

It is given in the question that

When four gallons are added to a tank that is one-third full

the tank is then one-half full.

Let the capacity of the tank is x gallons

The equation can be formed for the capacity of the tank as

(1/3)x +4 = (1/2)x

(1/3)x -(1/2)x = -4

(1/6)x = 4

x = 24 gallons.

Therefore the capacity of the tank in gallons is 24 gallons.

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