Problema Solution

there are 3 hotdogs and 2 hamburgers that cost 7.25

there are 2 hotdogs and 3 hamburgers that cost 7.75

how much does one hotdog and one hamburger cost

Answer provided by our tutors

let


x = the cost of one hotdog


y = the cost of the hamburger


there are 3 hotdogs and 2 hamburgers that cost 7.25:


3x + 2y = 7.25


there are 2 hotdogs and 3 hamburgers that cost 7.75:


2x + 3y = 7.75


by solving the system of equations:


3x + 2y = 7.25


2x + 3y = 7.75


we find:


x = $1.25


y = $1.75


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one hotdog costs $1.25 and one hamburger costs $1.75.