Problema Solution

at a concession stand, seven hot dog(s) and four hamburger(s) cost $21.25; four hot dogs and seven hamburgers cost $22.75. find the cost of one hot dog and the cost of one hamburger.

Answer provided by our tutors

let


h = the cost of one hamburger

d = the cost of one hotdog


seven hot dog(s) and four hamburger(s) cost $21.25


7d + 4h = 21.25


four hot dogs and seven hamburgers cost $22.75


4d + 7h = 22.75


by solving the system of equations


7d + 4h = 21.25

4d + 7h = 22.75


we find


d = $1.75


h = $2.25


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