If a 204-mile trip took 8 1/2 gallons of gas, how many miles can be driven with a full tank of 20 gallons

Thank you for your help and it is appreciated,

204/8.5 = x/20

204/8.5 = x/20
8.5(x) = 204(20)
8.5x = 4080
x = 480

To find out how many miles can be driven with a full tank of 20 gallons, we can set up a proportion:

Miles / Gallons = Miles / Gallons

Given that a 204-mile trip took 8 1/2 gallons of gas, we can convert the mixed fraction to a decimal by adding the whole number and the fractional part: 8 + 1/2 = 8.5 gallons.

Let's set up the proportion:

204 miles / 8.5 gallons = X miles / 20 gallons

To solve this proportion, we can cross multiply:

204 * 20 = 8.5 * X

4080 = 8.5X

Next, divide both sides of the equation by 8.5 to isolate X:

X = 4080 / 8.5

Using a calculator, we can find that X is approximately 480 miles.

Therefore, you can drive approximately 480 miles with a full tank of 20 gallons of gas.