Question

A waitress sold 10 ribeye steak dinners and 45 grilled salmon​ dinners, totaling ​$591.99 on a particular day. Another day she sold 24 ribeye steak dinners and 15 grilled salmon​ dinners, totaling ​$583.39. How much did each type of dinner​ cost?

Answer 1

The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00

Explanation:

Let

x ----> the cost of a ribeye steak dinner

y ----> the cost of a grilled salmon​ dinner

we know that

10x+45y=591.99 -----> equation A

24x+15y=583.39 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (18.68,9.00)

see the attached figure

therefore

The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00