I used 8 gallons of gas when I drove for 240 miles. How many gallons of gas are needed to drive 720 miles??
Cross multiply and solve for x.
8/240 = x/720
I. Don't know
8/240=x/720
240x=5760
240x/240= 5760/240
x=24
To find out how many gallons of gas are needed to drive 720 miles, we can use the concept of a proportion.
A proportion is an equation that states that two ratios are equal. In this case, we know that the ratio of gas used to distance traveled is constant, so we can set up a proportion like this:
(gas used) / (distance traveled) = (gas needed) / (desired distance)
Let's plug the values we know into the equation:
8 gallons / 240 miles = (gas needed) / 720 miles
To find the value of (gas needed), we can cross-multiply and solve for the unknown:
(8 gallons) * (720 miles) = (240 miles) * (gas needed)
5,760 gallons * miles = 240 miles * (gas needed)
Now, divide both sides of the equation by 240 miles to isolate (gas needed):
(5,760 gallons * miles) / 240 miles = gas needed
The miles unit cancels out, leaving us with:
5,760 gallons / 240 = gas needed
Simplifying the right side of this equation gives us:
24 gallons = gas needed
Therefore, to drive 720 miles, you would need 24 gallons of gas.