Question

a gasoline tank is initially 1/7 full. after some travel the tank is only 1/9 full. the tank is then filled to capacity by adding 24 gallons of gasoline. what is the capacity of the tank in gallons?

Answer 1

Answer:

27 gallons is the capacity of the tank.

Step-by-step explanation:

Let the capacity of the tank be x gallons.

Initial tank was filled = $\frac{1}{7}x$

After travelling tank was found to have = $\frac{1}{9}x$

24 gallons of gasoline was added to fill the tank completely.

$x=+\frac{1}{9}x+24$

$x-\frac{1}{9}x=24$

$\frac{9x-1x}{9}=24$

$\frac{8x}{9}=24$

$x=\frac{24\times 9}{8}=27$

27 gallons is the capacity of the tank.