Answer:
14 gallons of a gas more will she need to travel 240 miles.
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
Let x represents the more gallons will she need to travel 240 miles.
As per the statement:
12 gallons of gas to travel 144 miles. Six gallons in the tank.
Then;
By definition of proportion:
[tex]\frac{12}{144} = \frac{x+6}{240}[/tex]
Multiply 240 to both sides of an equation we have;
[tex]\frac{12}{144} \times 240 = x+6[/tex]
Simplify:
[tex]20 = x+6[/tex]
Subtract 6 from both sides we get;
[tex]14 = x[/tex]
Therefore, 14 gallons of a gas more will she need to travel 240 miles.
