Question

jason went to the hamburger shack twice last week. on the first trip he bought 3 hamburgers and 4 orders of french fries for $7.10. on the second trip he bought only 2 hamburgers and an order of french fries for $3.40. which system of equations best represents this situation if h represents the cost of each hamburgers purchased and f the cost of each order of french fries?\\(\bigcirc\\) \\(h + f = 7.10\\)\\(\quad\quad\quad h = 3.40 - f\\)\\(\bigcirc\\) \\(5h + 5f = 10.50\\)\\(\quad\quad\quad h + f = 10\\)\\(\bigcirc\\) \\(3h + f = 710\\)\\(\quad\quad\quad 2h + 4f = 3.40\\)\\(\bigcirc\\) \\(3h + 4f = 7.10\\)\\(\quad\quad\quad 2h + f = 3.40\\)

Explanation:

Step1: Analyze first trip

Jason bought 3 hamburgers (cost \(3H\)) and 4 fries (cost \(4F\)) for $7.10. So equation: \(3H + 4F = 7.10\).

Step2: Analyze second trip

He bought 2 hamburgers (cost \(2H\)) and 1 fry (cost \(F\)) for $3.40. So equation: \(2H + F = 3.40\).

Answer:

\(3H + 4F = 7.10\) and \(2H + F = 3.40\) (the last option, assuming it's \(3H + 4F = 7.10\) and \(2H + F = 3.40\) as the visible part suggests)