Answer:
[tex]\dfrac{72}{5}[/tex] gallons of gas.
Step-by-step explanation:
It is given that 12 gallons of gas can fill the tank of the family car.
This is 5/6 of the amount the tank can hold.
Let x be the capacity of tank in gallons.
[tex]\dfrac{5}{6}x=12[/tex]
Multiply both sides by 6.
[tex]5x=12\times 6[/tex]
[tex]5x=72[/tex]
Divide both sides by 5.
[tex]x=\dfrac{72}{5}[/tex]
Therefore, the tank can hold [tex]\dfrac{72}{5}[/tex] gallons of gas.
