Answer: The total capacity of his tank is 21 gallons
Let the full capacity of the tank be x
Mr. Darcy Branched NJ gas station and fill 14 gallon of gas in his tank
After filling his tank, he discovered that the tank is 2 - third full
Using the following relation to solve for x
[tex]\begin{gathered} \text{Part = Total capacity x fraction} \\ let\text{ part = 14 gallons} \\ \text{Total capacity = x} \\ \text{Fraction = }\frac{2}{3} \\ 14\text{ = x }\cdot\text{ }\frac{2}{3} \\ 14\text{ = }\frac{2\cdot\text{ x}}{3} \\ 14\text{ = }\frac{2x}{3} \\ \text{Cross multiply} \\ 14\text{ x 3 = 2x} \\ 42\text{ = 2x} \\ \text{Divide both sides by 2} \\ \frac{2x}{2}\text{ = }\frac{42}{2} \\ x\text{ = 21} \end{gathered}[/tex]The total capacity of the tank is 21 gallons
