PART A

Lauren is planning a catered dinner party for her parents' anniversary with a dinner budget of $288. She has selected two options: a chicken dinner that costs $9 per plate and a steak dinner that costs $12 per plate. Lauren is working on the guest list and must also determine how many of each meal to order.

Let x
represent the number of chicken dinners and let y
represent the number of steak dinners.

Complete the equation that represents this situation.
Make sure that you write the coefficient first, then the variable. For example 3 times x
should be entered 3x
and 5 times y
should be entered 5y
.

=288

9x + 12y = 288

9x + 12y = 288

To determine the equation that represents this situation, we need to consider the cost per meal and the total budget.

Since Lauren has selected a chicken dinner that costs $9 per plate, the cost of x chicken dinners would be 9x. Similarly, the cost of y steak dinners would be 12y.

To represent the total budget, we can set up the equation: cost of chicken dinners + cost of steak dinners = total budget.

So, the equation that represents this situation is: 9x + 12y = 288.