Carlos drove 207 miles on 6 gallons of gasoline. Assuming he maintains this rate, how many miles could he drive on 11 gallons of gasoline?
x/11 = 207/6
To find out how many miles Carlos could drive on 11 gallons of gasoline, we can use a proportion.
The rate of miles per gallon is constant, so we can set up the following proportion:
207 miles / 6 gallons = x miles / 11 gallons
Now, let's solve for x:
(207 miles)(11 gallons) = (6 gallons)(x miles)
2277 miles = 6x
Divide both sides of the equation by 6:
2277 miles / 6 = x
x = 379.5 miles
Therefore, Carlos could drive approximately 379.5 miles on 11 gallons of gasoline.
To find out how many miles Carlos could drive on 11 gallons of gasoline, we need to determine the average mileage he gets per gallon of gasoline.
First, we calculate the average mileage per gallon of gasoline by dividing the total distance traveled by the total gallons used:
Average mileage per gallon = Total distance / Total gallons
= 207 miles / 6 gallons
= 34.5 miles per gallon
Therefore, Carlos travels an average of 34.5 miles per gallon.
Now, we can calculate the number of miles Carlos could drive on 11 gallons of gasoline by multiplying the number of gallons by the average mileage per gallon:
Miles on 11 gallons = Average mileage per gallon * Number of gallons
= 34.5 miles per gallon * 11 gallons
= 379.5 miles
Therefore, Carlos could drive approximately 379.5 miles on 11 gallons of gasoline, assuming he maintains the same rate of mileage per gallon.