a waitress sold 17 ribeye steak dinners and 14 grilled salmon dinners, totaling $598.95 on a particular day. another day she sol d 28 ribeye steak dinners and 7 grilled salmon dinners, totaling $581.64. how much did each type of dinner cost?
1 answer:
Answer:
Roasted Steak RS=14.47
Grilled Salmon GS= 25.21
Step-by-step 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
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