Answer:
To find the capacity of the water tank, we can set up an equation based on the given information.
Let's assume the capacity of the water tank is C gallons.
According to the problem, the tank is initially 1/8 full, which means there are (1/8) * C gallons of water in the tank.
When 42 gallons of water is added, the tank becomes 3/4 full, which means there are (3/4) * C gallons of water in the tank.
Based on the above information, we can set up the equation:
(1/8) * C + 42 = (3/4) * C
To solve for C, we can simplify and solve the equation:
Multiply both sides of the equation by 8 to eliminate the fractions:
C + 336 = 6C
Subtract C from both sides:
336 = 6C - C
Combine like terms:
336 = 5C
Divide both sides by 5:
C = 336/5
C ≈ 67.2
Therefore, the capacity of the water tank is approximately 67.2 gallons.