Problema Solution

at a concession stand, seven hot dogs and four hamburgers cost $15.00; four hot dogs and seven hamburgers cost $18.00 . find the cost of one hotdog and the cost of one hamburger

Answer provided by our tutors

let


d = the cost of one hot dog

h = the cost of one hamburger


seven hot dogs and four hamburgers cost $15.00


7d + 4h = 15


four hot dogs and seven hamburgers cost $18.00


4d + 7h = 18


by solving the system of equations


7d + 4h = 15

4d + 7h = 18


we find


d = $1


h = $2


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the cost of one hot dog is $1.

the cost of one hamburger is $2.