Question

a waitress sold 17 ribeye steak dinners and 14 grilled salmon dinners, totaling $598.95 on a particular day. another day she sold 28 ribeye steak dinners and 7 grilled salmon dinners, totaling $581.64. how much did each type of dinner cost?​

Answer 1

Roasted Steak RS=14.47

Grilled Salmon GS= 25.21

Explanation:

It's a 2 equation system as follows

E1-> 17RS+14GS=598.95

E2-> 28RS+7GS=581.64

We assume the system has only one solution and apply the following calculation to create a single equation

E3 -> 2x E2 -E1

That way the only incognit will be RS

(28x2 - 17) RS + (7x2 - 14) GS = 581,64x2- 598,95

39RS= 564,33

We solve for RS and then use E1 to solve for GS and E2 to check the answers