Problema Solution

at a concession stand, seven hotdogs and four hamburgers cost 18.25 and seven hamburgers cost 17.50 find the cost of one hotdog and the cost of one hamburger

Answer provided by our tutors

let


x = the cost of one hotdog


y = the cost of one hamburger


seven hotdogs and four hamburgers cost 18.25:


7x + 4y = 18.25


seven hamburgers cost 17.50:


7y = 17.50


by solving the system of equations:


7x + 4y = 18.25


7y = 17.50


we find:


x = $1.18


y = $2.50


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the cost of one hotdog is $1.18.


the cost of one hamburger is $2.50.