Answer:
161.5 miles
Step-by-step explanation:
Given
[tex]Trip = 533\ miles[/tex]
[tex]Gas = 105\ miles[/tex]
Required
Determine the distance left until you stop to eat
From the question, we understand that you plan to eat at half the trip.
This is calculated as thus;
[tex]Eat = \frac{1}{2} * Trip[/tex]
[tex]Eat = \frac{1}{2} * 533[/tex]
[tex]Eat = 266.5[/tex]
Next:
Subtract the distance you got gas from the distance to eat.
[tex]Distance = 266.5 - 105[/tex]
[tex]Distance = 161.5\ miles[/tex]