Question

A group of friends go out for lunch. If they order 2 hot dogs and 4 cheeseburgers, the bill will

be $23.50. If they order 5 hot dogs and only 1 cheeseburger, the bill will be $18.25. What is
the cost of a hot dog?

Answer 1

$2.75 = cost of a hot dog

$4.50 = cost of a cheeseburger

Explanation:

Let x = cost of a hot dog

y = cost of a cheeseburger

(1) 2x + 4y = 23.5 (2) 5x + y = 18.25

y = 18.25 - 5x

2x +4(18.25 - 5x) = 23.5

2x + 73 - 20x = 23.5

-18x + 73 = 23.5

-18x = -49.5

x = 2.75 y = 18.25 - 5(2.75)

y = 18.25 - 13.75

y = 4.50

$2.75 = cost of a hot dog

$4.50 = cost of a cheeseburger