Gas tank word problem

The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8100 gallons of gas filled the station's tank. After that the tanker truck had 4 times as much gas as the station's tank. How much gas did the tanker truck put into the station's tank?


Let x be the amount of gas in gallons that was put in the tank at the gas station to fill it up.

The tank now has 400 + x when it is full

The amount of x gallons given to the tank at the gas station was removed from the tanker.

The tanker truck now has 8100 – x

The tanker truck now has 4 times as much gas as the station's tank

8100 – x is 4 times as big as 400 + x

8100 – x = 4 (400 + x)

8100 – x = 1600 + 4x

8100 – x + x = 1600 + 4x + x

8100 = 1600 + 5x

8100 – 1600 = 1600 – 1600 + 5x

8100 – 1600 = 5x

6500 = 5x

x = 1300

1300 gallons of gas was added to the tank to fill it up

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Algebra word problems.

Recent Articles

  1. How To Find The Factors Of 20: A Simple Way

    Sep 17, 23 09:46 AM

    Positive factors of 20
    There are many ways to find the factors of 20. A simple way is to...

    Read More

  2. The SAT Math Test: How To Be Prepared To Face It And Survive

    Jun 09, 23 12:04 PM

    SAT math
    The SAT Math section is known for being difficult. But it doesn’t have to be. Learn how to be prepared and complete the section with confidence here.

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes


Math vocabulary quizzes