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At a concession​ stand, five hot dog(s) and two hamburger(s) cost ​$\$10.25$​; two hot dog(s) and five hamburger(s) cost ​$\$12.50$. Find the cost of one hot dog and the cost of one hamburger.

 Feb 20, 2021
 #1
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Let the cost of a hot dog be x and the cost of a hamburger be y. We can write a system of equations:

 

5x + 2y = 10.25

2x + 5y = 12.50

 

Add both equations:

 

7x + 7y = 22.75

 

x + y = 22.75/7 = $3.25

 Feb 20, 2021

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