A gas tank is 1/4 full. Abby adds 4 gallons and now it is 5/8 full. How many gallons does the tank hold?
let the tank hold x gallons
(1/4)x + 4 = (5/8)x
times everybody by 8
2x + 32 = 5x
-3x = -32
x = 10 2/3 gallons
To find out how many gallons the gas tank holds, we need to use the given information about the tank's level before and after Abby adds 4 gallons.
Let's say the total capacity of the gas tank is "x" gallons.
According to the problem, initially, the tank is 1/4 (or 1/4 * x) full. Then, Abby adds 4 gallons to it, which makes it 5/8 (or 5/8 * x) full.
We can set up an equation to solve for "x" by equating the two expressions we have:
1/4 * x + 4 = 5/8 * x
To get rid of the fractions, we can multiply both sides of the equation by 8:
8 * (1/4 * x + 4) = 8 * (5/8 * x)
Simplifying, we have:
2x + 32 = 5x
To isolate "x," let's subtract 2x from both sides of the equation:
32 = 3x
Finally, divide both sides by 3:
x = 32 / 3
Therefore, the gas tank holds approximately 10.67 gallons.