Question

A waitress sold 15 ribeye steak dinners and 28 grilled salmon dinners, totaling $551.97 on a particular day. Another day she sold 24 ribeye steak dinners and 14 grilled salmon dinners, totaling $581.91. How much did each type of dinner cost?

Answer 1

Ribeye is 18.54 and salmon is 9.78

Answer 2

Ribeye (ea) = $18.54

Salmon (ea) = $9.78

Explanation:

x is the price for each ribeye steak

y is the price for each grilled salmon

15x + 28y = $551.97 (a)

24x + 14y = $581.91 (b) -----(x2)------> 48x + 28y = 1163.82 (c)

Subtract c with a

48x + 28y = 1163.82 (c)

15x + 28y = $551.97 (a)

=================== -

33x = 611.85

x = 18.54

Put the value of x into a

15 · 18.54 + 28y = 551.97

278.1 +28y = 551.97

28y = 273.87

y = 9.78

In conclusion, the price of 1 ribeye is $18.54, and the price of 1 salmon is $9.78.