A gasoline gauge register 1/8 full.After purchasing 12 gallons of gasoline it registers 7/8 full. What is the capacity of the tank (in gallons)?

12 gal. รท (7/8-1/8)

=16 gal.

Does not look like a huge tank!

To find the capacity of the tank in gallons, we need to determine the difference in fuel level between 1/8 full and 7/8 full, and then use that difference to find the total capacity.

Step 1: Determine the difference in fuel levels
To find the difference between 1/8 full and 7/8 full, we subtract 1/8 from 7/8:
7/8 - 1/8 = 6/8 = 3/4

Step 2: Calculate the capacity of the tank
Since the difference in fuel levels represents 3/4 of the tank capacity, we can set up the following equation:
3/4 = 12 gallons

To find the total capacity, we divide 12 gallons by 3/4:
12 / (3/4) = 12 * (4/3) = 16 gallons

Therefore, the capacity of the tank is 16 gallons.