Question

A food truck sells burgers and hot dogs. During lunch, it sold 88 items for a total of $331. If burgers cost $4.50 and hot dogs cost $3.25, how many of each item were sold?

Answer 1

Hey there!

Assuming x = burgers, y = hot dogs

$x + y = 88 \\ 4.5x + 3.25y = 331$

$x + y = 88 \\ x = 88 - y$

Substitute that into
$4.5(88 - y) + 3.25y = 331 \\ 396 - 4.5y + 3.25y = 331 \\ - 1.25y = - 65 \\ y = 52$

Substitute that into
$x = 88 - 52 \\ x = 36$

Answer : 36 burgers and 52 hot dogs are sold.

Hope this helps. - M