Answer:
240x + 160y ≥ 800
1.40x + 0.50y ≤ 5
Step-by-step explanation:
Let's call x the number of hamburgers and y the number of cookies.
If he buys x hamburger, the cost will be $1.40x and the calories will be 240x
In the same way, if he buys y cookies, the cost will be $0.50y and the calories will be 160y.
He needs to eat at least 800 calories, so the total calories in hamburgers and cookies should be 800 or more. Then, it can be represented as
240x + 160y ≥ 800
He doesn't want to spend more than $5, so the total cost should be less than or equal to 5, then
1.40x + 0.50y ≤ 5
Therefore, the system of inequality is
240x + 160y ≥ 800
1.40x + 0.50y ≤ 5