Question

A waitress sold 12 ribeye steak dinners and 15 grilled salmon dinners, totaling $599.82 on a particular day. Another day she sold 26 ribeye steak dinners and 5 grilled salmon dinners, totaling $582.98. How much did each type of dinner cost?

Answer 1

Ribeye costs approximately $17.41 per meal.

Salmon costs approximately $26.06 per meal.

Explanation:

Systems of equations problem.

r=ribeye

s=salmon

12r+15s=599.82

26r+5s=582.98

Substitution solve for s in the first equation.

15s=599.82-12r

s=(599.82-12r)/15

Plug this into the second equation.

26r+5[(599.82-12r)/15]=582.98

Solve for r.

R is approximately $17.41 per meal.

Plug R into either equation to solve for S.

12(17.41)+15s=599.82

S is approximately $26.06 per meal.