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?

Guest Nov 19, 2020

#1**+1 **

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

CPhill Nov 19, 2020