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Two groups of students order burgers and hot dogs at a local restaurant . One order of 3 burgers and 2 hot dogs cost $19. The other order of 6 burgers and 5 hot dogs costs $40. Solve by elimination to find the cost of a burger and the cost of a hotdog .​

 Mar 9, 2020
 #1
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We have this system  :

 

3B  + 2H  = 19      multiply  through by - 2    ⇒  -6B - 4H  = -38    (1) 

6B + 5H =  40    (2)

 

Add (1)  and (2)   and we  get that

 H  =   2     ⇒  [ a hot dog  costs $2 ]

 

And

 

3B + 2(2)  = 19

3B + 4  =19     subtract  4 from each side

3B  = 15          divide  both sides  by  3

B  = 5   [a burger costs $5  ]

 

 

 

cool cool cool

 Mar 10, 2020

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