Answer:
161.5 miles
Explanation:
Given
![Trip = 533\ miles](https://img.qammunity.org/2021/formulas/mathematics/high-school/3junxk9zty5tcjbhwhbywhbyel5emf8sl2.png)
![Gas = 105\ miles](https://img.qammunity.org/2021/formulas/mathematics/high-school/d0a1vuhuk2e73k4jm5o8t91hcy27bozth7.png)
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;
![Eat = (1)/(2) * Trip](https://img.qammunity.org/2021/formulas/mathematics/high-school/7pi7igcjxu0zimrfhjyj4kylc9rsdjsbks.png)
![Eat = (1)/(2) * 533](https://img.qammunity.org/2021/formulas/mathematics/high-school/e2e0ijjtjswj7wr8ofi9ngh4ngpo18q1nu.png)
![Eat = 266.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/x6sizex3uwg9bhruhbnvfffynk39kpal9c.png)
Next:
Subtract the distance you got gas from the distance to eat.
![Distance = 266.5 - 105](https://img.qammunity.org/2021/formulas/mathematics/high-school/k5x2uqo8aul0y7gwyb4wzhn0xcjt9nlct0.png)
![Distance = 161.5\ miles](https://img.qammunity.org/2021/formulas/mathematics/high-school/375tgqitixuc5f4kiak8yst0ir9vl16z0f.png)