Question

When 6 gallons of gasoline are put into a car's tank the indicator goes from 1/4 of a tank to 5/8. What is the total capacity of the gas tank?

Answer 1

let the number of gallons in the tank be x

(5/8)x - (1/4)x = 6
(3/8)x=6
x = 16

check:
1/4 full would be 4 gall
5/8 full would be 10 gallons
must have put in 6 gallons, all is good!

Answer 2

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Initially the tank had 1/4 of gasoline. Then 6 gallons is added and the tank now has 5/8
Write the expression like this
1/4 + 6 litres = 5/8
Then subtract 1/4 from both sides to isolate 6 litres
1/4-1/4 + 6litres= 5/8-1/4
6 litres = 5/8-1/4
6litres = 3/8
So 3/8 of full tank is 6 litres
What is the full tank?
Let the full tank be X litres
3/8 of X = 6 litres
So X = 6litres × 8/3
X = 16 litres