On a recent trip, Sarah's car used 6 gallons of gasoline to travel 132 miles. At this rate, how far could her car travel on 14 gallons of gasoline?
268
To find out how far Sarah's car could travel on 14 gallons of gasoline, we can set up a proportion using the given information.
Let's say x represents the distance her car could travel on 14 gallons of gasoline.
We can set up the following proportion:
6 gallons / 132 miles = 14 gallons / x miles
To solve for x, we can cross-multiply:
6 * x = 132 * 14
Now, we can solve for x:
6x = 1848
Divide both sides by 6:
x = 1848 / 6
x = 308
Therefore, her car could travel 308 miles on 14 gallons of gasoline.
To find out how far Sarah's car could travel on 14 gallons of gasoline, we first need to determine how many miles her car can travel on 1 gallon of gasoline.
To do this, we can set up a proportion using the given information. The proportion can be set up as:
6 gallons / 132 miles = 1 gallon / X miles
Here, X represents the number of miles her car can travel on 1 gallon of gasoline.
To solve for X, we can cross-multiply and solve the equation:
6X = 132 × 1
6X = 132
Dividing both sides of the equation by 6:
X = 132 ÷ 6
X = 22
Therefore, her car can travel 22 miles on 1 gallon of gasoline.
Now, we can calculate how far her car can travel on 14 gallons of gasoline by multiplying the mileage per gallon by the number of gallons:
22 miles/gallon × 14 gallons = 308 miles
Therefore, her car could travel 308 miles on 14 gallons of gasoline.
x/14 = 132/6
Now just find x