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A waitress sold 20 ribeye steak dinners and14 grilled salmon​ dinners, totaling ​$591.53 on a particular day. Another day she sold 24ribeye steak dinners and 7 grilled salmon​ dinners, totaling ​$581.91. How much did each type of dinner​ cost?

 Nov 19, 2020
 #1
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R = cost of ribeye dinner

S = cost of salmon dinner

 

We have this system

 

20R  + 14S = 591.53

24R   +  7S = 581.91

 

Multiply the second eqution through by -2

 

20R  + 14S = 591.53

-48R - 14S  =  - 1163.82      add these

 

-28R  = -572.29       divide both sides by -28

 

R ≈ $20.44

 

To find S

 

20 ( 20.44)  + 14S = 591.53

 

408.80  + 14S =  591.53

 

14S = 591.53 - 408.80

 

14S = 182.73

 

S =  182.73 / 14   ≈  $13.05

 

 

 

cool cool cool

 Nov 19, 2020

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