Answer: It would take [tex]21\dfrac{14}{15}[/tex] gallons of gas to completely fill the tank.
Step-by-step explanation:
Given: capacity of tank = [tex]18\dfrac35[/tex] gallons
[tex]=\dfrac{18\times5+3}{5}=\dfrac{93}{5}[/tex] gallons
Tank contains [tex]3\dfrac13[/tex] gallons of gas
i.e. it has [tex]\dfrac{3\times3+1}{3}=\dfrac{10}{3}[/tex] gallons of gas.
Difference = [tex]\dfrac{93}{5}-\dfrac{10}{3}=\dfrac{93\times3+10\times5}{5\times3}[/tex]
[tex]=\dfrac{329}{15}\\\\=21\dfrac{14}{15}[/tex] gallons
Hence, it would take [tex]21\dfrac{14}{15}[/tex] gallons of gas to completely fill the tank.
