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Question 1
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
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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
If Lauren orders only chicken dinners, she can order any number of dinners as long as the total cost does not exceed $288.
If Lauren orders only steak dinners, she can order any number of dinners as long as the total cost does not exceed $288.
Question 1:
The equation that represents this situation is 9x + 12y = 288.
Question 2:
If Lauren orders only chicken dinners, she can order 32 dinners.
Question 3:
If Lauren orders only steak dinners, she can order 24 dinners.
Question 1: To represent the situation where Lauren is planning a catered dinner party for her parents' anniversary with a budget of $288 and she has selected two options: a chicken dinner that costs $9 per plate and a steak dinner that costs $12 per plate, we need to create an equation. Let x represent the number of chicken dinners and y represent the number of steak dinners.
The cost of chicken dinners can be calculated as 9x, and the cost of steak dinners can be calculated as 12y.
Since the total budget is $288, the equation would be:
9x + 12y = 288
Question 2: To find out how many chicken dinners Lauren can order if she orders only chicken dinners, we need to solve the equation by setting the number of steak dinners, y, to 0.
Substituting y = 0 into the equation:
9x + 12 * 0 = 288
9x = 288
x = 288 / 9
x = 32
Therefore, Lauren can order 32 chicken dinners.
Question 3: To find out how many steak dinners Lauren can order if she orders only steak dinners, we need to solve the equation by setting the number of chicken dinners, x, to 0.
Substituting x = 0 into the equation:
9 * 0 + 12y = 288
12y = 288
y = 288 / 12
y = 24
Therefore, Lauren can order 24 steak dinners.