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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
Let's assume x represents the number of chicken dinners.
Since Lauren is ordering only chicken dinners, the number of steak dinners, y, would be 0.
So the equation representing this situation would be: 9x + 0 = 288
Simplifying the equation: 9x = 288
To find the number of chicken dinners Lauren can order, we need to solve for x.
Dividing both sides of the equation by 9: x = 288/9
Simplifying: x = 32
Therefore, Lauren can order 32 chicken dinners.
To find the number of chicken dinners Lauren can order, we can use the equation from Part A. In this case, since she is only ordering chicken dinners, the equation becomes:
9x = 288
To solve for x, we divide both sides of the equation by 9:
x = 288/9
Calculating the expression, we get:
x = 32
Therefore, Lauren can order 32 chicken dinners.
To solve Question 1 and find the equation that represents the situation, we need to consider the cost of each dinner option and the total budget for the dinner. Let's use the given information:
The chicken dinner costs $9 per plate.
The steak dinner costs $12 per plate.
The total dinner budget is $288.
Let's determine the number of chicken dinners, represented by x, and the number of steak dinners, represented by y.
We can set up the equation using the following information:
9x (cost of x chicken dinners) + 12y (cost of y steak dinners) = 288 (total dinner budget)
Therefore, the complete equation that represents the situation is:
9x + 12y = 288
Now, let's move on to Question 2.
To solve Question 2, we need to consider the scenario where Lauren orders only chicken dinners. In this case, the cost of each dinner would be $9 per plate.
Since the total dinner budget is $288 and each chicken dinner costs $9, we can find how many chicken dinners Lauren can order by dividing the total budget by the cost of each dinner:
Number of chicken dinners = Total budget / Cost per chicken dinner = 288 / 9 = 32
Therefore, Lauren can order a maximum of 32 chicken dinners.