PART A

Question

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
represent the number of chicken dinners and let
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
should be entered
and 5 times
should be entered
.


Question 2
PART B

If Lauren orders only chicken dinners, how many dinners can she order?
Enter the number in the box.

chicken dinners
Question 3
PART C

If Lauren orders only steak dinners, how many dinners can she order?
Enter the number in the box.

steak dinners

Answer 1

PART A

Let \( c \) represent the number of chicken dinners and \( s \) represent the number of steak dinners. The equation that represents Lauren's budget can be written as:

\[ 9c + 12s = 288 \]

PART B

If Lauren orders only chicken dinners, we need to find out how many chicken dinners she can order within her budget of $288.

The cost of each chicken dinner is $9. To find out how many chicken dinners she can afford, we can divide her total budget by the cost per plate:

\[ \text{Number of chicken dinners} = \frac{288}{9} = 32 \]

So, she can order 32 chicken dinners.

PART C

If Lauren orders only steak dinners, we need to find out how many steak dinners she can order within her budget of $288.

The cost of each steak dinner is $12. To find out how many steak dinners she can afford, we can divide her total budget by the cost per plate:

\[ \text{Number of steak dinners} = \frac{288}{12} = 24 \]

So, she can order 24 steak dinners.