It took 6.5 gallons of gas to fill the tank of the family car. If the tank is .25 full when they arrived at the gas station, how much gas does the tank hold.
0.75x = 6.5
x = 8.67 gallons
My that's a small tank.
To solve this problem, we can use the concept of proportions.
We are given that it took 6.5 gallons of gas to fill the tank when it was completely empty. We are also told that when the family car arrived at the gas station, the tank was only 0.25 (or 1/4) full.
Let's assume that the tank holds X gallons of gas when it is completely full.
Now we can set up a proportion using the given information:
(6.5 gallons) / (X gallons) = (0.25) / (1)
To solve for X (the capacity of the tank), we can cross-multiply and then divide:
6.5 * 1 = X * 0.25
6.5 = 0.25X
Dividing both sides of the equation by 0.25:
6.5 / 0.25 = X
So, the tank holds 26 gallons of gas when it is completely full.