Word Problem Help

Question

A truck has 8100 gal of gas. The station has 400 gal of gas in its tank. After the truck fills the station's tank is has 4 times as much gas as the station. How much gas did it take to fill the station's tank?

Answer 1

Let x = the amount of gasoline to fill the station's tank

 

After the transfer the truck will have 8100 - x gallons, that is x gallons less.

Similarly the station will then have x + 400 gallons, that is x gallons more.

 

Since after the transfer the truck has 4 times as much as the station we can write:

 

8100 - x = 4(x+400)

 

8100 - x = 4x + 1600

 

5x = 6500

 

x = 1300 gallons

 

Check it out.

 

After truck will have 8100 - 1300 = 6800 gallons. And 6800 is 4 times 1700.