Question

The gasoline gauge on a van initially read (1)/(8) full. When 6 gallons were added to the tank, the gauge read (1)/(2) full. How many more gallons are needed to fill the tank? To fill the tank, more gallons are needed.

Answer 1

To fill the tank, 10 more gallons are needed.

Step-by-step explanation:

To find the number of more gallons needed to fill the tank, we need to determine the tank's capacity and subtract the current amount of fuel in the tank.

Given that the gasoline gauge initially read (1)/(8) full and after adding 6 gallons it read (1)/(2) full, we can conclude that 6 gallons represent (1)/(2) - (1)/(8) = (4)/(8) - (1)/(8) = (3)/(8) of the tank's capacity.

Since 6 gallons represent (3)/(8) of the tank's capacity, we can find the capacity of the tank by finding how many times (3)/(8) goes into 6 gallons. To solve this, we set up the equation (3)/(8) * x = 6, where x represents the capacity of the tank. Solving for x, we find x = 8 * 6 / 3 = 16 gallons.

To find the number of more gallons needed to fill the tank, we subtract the current amount of fuel, which is 6 gallons, from the tank's capacity of 16 gallons. Therefore, we need an additional 10 gallons to fill the tank.

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