Question:
A car’s gas tank can hold 11 9/10 gallons of gasoline. It contains 8 3/4 gallons of gasoline. How much more gasoline is needed to fill the tank?
Answer:
[tex] 5\frac{3}{20}[/tex] more gasoline is needed to fill the tank?
Step-by-step explanation:
Given:
Capacity of the car tank = 11 9/10
Quantity of fuel already present = 8 3/4
To Find:
Quantity needed to fill the tank = ?
Solution:Let the quantity of the gasoline needed to fill the tank be x
Then
x = total capacity of the tank - quantity of fuel already present in the tank
x = [tex]11 \frac{9}{10}[/tex] - [tex]8 \frac{3}{4}[/tex]
x = [tex]\frac{119}{10}[/tex] - [tex]\frac{27}{4}[/tex]
x = [tex] 11.9[/tex] - [tex]6.75[/tex]
x = 5.15 or [tex] 5\frac{3}{20}[/tex]
