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 cost nine dollars per plate and a steak dinner that cost $12 per flight. Lauren is working on the guest list. It 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 State dinners complete the equation that represents the situation. Make sure that you write the coefficient first, and then the variable, for example 3times x should be entered 3X and five times y should be 5y.
9X + 12Y = 288
To complete the equation that represents the situation, we need to consider the cost of the meals and the budget.
Let's break it down:
The number of chicken dinners is represented by X.
The cost of each chicken dinner is $9.
So, the total cost of chicken dinners is 9X.
The number of steak dinners is represented by Y.
The cost of each steak dinner is $12.
So, the total cost of steak dinners is 12Y.
To stay within the budget of $288, the equation representing the situation would be:
9X + 12Y = 288
Here, we multiplied the cost per plate with the respective number of plates and added them together to get the total cost.
Let X represent the number of chicken dinners.
Let Y represent the number of steak dinners.
The cost of each chicken dinner is $9, so the total cost of chicken dinners would be 9X.
The cost of each steak dinner is $12, so the total cost of steak dinners would be 12Y.
Since Lauren's dinner budget is $288, the equation that represents the situation is:
9X + 12Y = 288