Problema Solution
at a concession stand 3 hot dogs and 4 hamburgers cost $11.25 ;4 hot dogs and 3 hamburgers cost $11.50 . Find the cost of one hot dog and the cost of one hamburger.
Answer provided by our tutors
let
x = the cost of one hot dog
y = the cost of one hamburger
3 hot dogs and 4 hamburgers cost $11.25
3*x + 4*y = 11.25
4 hot dogs and 3 hamburgers cost $11.50
4*x + 3*y = 11.50
by solving the system of equations
3*x + 4*y = 11.25
4*x + 3*y = 11.50
we find
x = $1.75
y = $1.5
the cost of one hot dog is $1.75 and the cost of one hamburger is $1.5.