Problema Solution
At a concession stand five hot dogs and four hamburgers cost $17.75; four hot dogs and five hamburgers cost $18.25. Find the cost of one hot dog and one hamburger.
Answer provided by our tutors
let
d = the host of one hot dog
h = the cost of one hamburger
five hot dogs and four hamburgers cost $17.75:
5d + 4h = 17.75
four hot dogs and five hamburgers cost $18.25:
4d + 5h = 18.25
by solving the system of equations:
5d + 4h = 17.75
4d + 5h = 18.25
we find:
d = $1.75
h = $2.25
click here to see the step by step solution of the system of equations:
the cost of one hot dog is $1.75.
the cost of one hamburger is $2.25.