Question

A waitress sold 18 ribeye steak dinners and 18 grilled salmon dinners, totaling 574.48 on a particular day. Another day she saw 23 ribeye steak dinners and six grilled salmon dinners, totaling 582.08. How much did each type of dinner cost?

Answer 1

ribeye steak dinner: 22.98

grilled salmon dinner: 8.94

Explanation:

The cost of one ribeye steak dinner and one grilled salmon dinner is

574.48/18 = 31.92

The cost of six ribeye steak dinners and six grilled salmon dinners is

31.92 * 6 = 191.49

So the difference between 191.49 and 582.08 is for 23 - 6 = 17 ribeye steak dinners, then each ribeye steak dinner is (582.08 - 191.49)/17 = 22.98

Each grilled salmon dinner is 31.92 - 22.98 = 8.94