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?
+128408 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
