Math word problem

Question

A waitress sold

13

ribeye steak dinners and

18

grilled salmon​ dinners, totaling

​$560.53

on a particular day. Another day she sold

21

ribeye steak dinners and

6

grilled salmon​ dinners, totaling

​$584.52

.

How much did each type of dinner​ cost?

Answer 1

Let x = cost of the steak dinner and y = cost of salmon dinner. Then you have two equations:

13x+18y=560.53

21x+6y=584.52

Multiply the second equation by 3 and subtract the two equations. You will now have one equation that can be solved for x. Once you have that value, you can substitute that for x into any equation and solve for the y value.