Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner. 1.Write a system of equations that could be used to solve the problem. Define your variables.

2.Solve by any algebraic method (elimination/substitution). Work must be shown! How many people will choose a salad?