A vehicle starts w/ a full tank of gasoline and travels 150 miles. While refilling the tank, the driver notes that the vehicle used (1/4) tank of gasoline in traveling the 150 miles. Assuming the vehicle averages 25 miles per gallon, approximately how many gallons of gasoline does the tank hold when full? Show your work.

The car goes 150 x 4 = 600 miles on a full tank. If it gets 25 mpg, the tank capacity is

(max range, miles)/(mpg) = 600/25 = 24 gallons

thank you! i understand now

To find out how many gallons of gasoline the tank holds when full, we need to divide the distance traveled by the average miles per gallon.

Step 1: Calculate the number of gallons used for 150 miles:
Gallons used = Distance / Miles per gallon
Gallons used = 150 miles / 25 miles per gallon
Gallons used = 6 gallons

Step 2: Calculate the total tank capacity by dividing the gallons used by the fraction of tank used.
Total tank capacity = Gallons used / Fraction of tank used
Total tank capacity = 6 gallons / (1/4)
Total tank capacity = 24 gallons

Therefore, the tank can hold approximately 24 gallons of gasoline when full.

To solve this problem, we can use the information given and use a simple equation:

Let's start by finding the number of gallons of gasoline used to travel 150 miles. We are told that the vehicle averages 25 miles per gallon, so we can divide 150 miles by 25 miles/gallon to find the number of gallons used:

Gallons used = 150 miles / 25 miles/gallon
Gallons used = 6 gallons

Next, we are told that the vehicle used 1/4 of its tank (6 gallons) to travel the 150 miles. We can set up an equation to find the total capacity of the tank:

Tank capacity x (1/4) = 6 gallons

To find the total capacity of the tank, we can multiply both sides of the equation by 4:

Tank capacity = 6 gallons x 4
Tank capacity = 24 gallons

Therefore, the tank can hold approximately 24 gallons of gasoline when full.