Kayla’s mom is planning her birthday party. She has a budget of $150. She knows that the food will cost $5 per person. Twelve friends are coming to the party. Which expression represents the amount of money, m , Kayla’s mom has to spend on each guest’s goody bag?(1 point)

Answer 1

To find the expression that represents the amount of money, \( m \), that Kayla's mom has to spend on each guest's goody bag, we can start by calculating the total cost for the food and then see how much money is left in the budget for the goody bags.

1. The total number of guests (including Kayla) is 12 friends + 1 Kayla = 13 people.

2. The cost for food per person is $5, so the total cost for food is: \[ \text{Total cost of food} = 13 \text{ people} \times 5 \text{ dollars/person} = 65 \text{ dollars} \]

3. The total budget is $150, so the remaining amount of money after paying for the food is: \[ \text{Remaining money} = \text{Total budget} - \text{Total cost of food} = 150 \text{ dollars} - 65 \text{ dollars} = 85 \text{ dollars} \]

4. The remaining money ($85) needs to be spent on goody bags for the 12 friends. Thus, the expression for the amount of money spent on each guest's goody bag is: \[ m = \frac{85 \text{ dollars}}{12 \text{ friends}} \]

So, the expression that represents the amount of money, \( m \), that Kayla’s mom has to spend on each guest's goody bag is: \[ m = \frac{85}{12} \]

Answer 2

wrong

Answer 3

Let's go through the problem step by step again to ensure we find the correct expression for the amount of money, \( m \), Kayla’s mom has to spend on each guest’s goody bag.

1. Determine the total number of guests:

   • Kayla has 12 friends coming to the party, so the total number of people is \( 12 + 1 = 13 \) (including Kayla).

2. Calculate the cost of food:

   • The cost per person for food is $5. Therefore, the total cost for food is: \[ \text{Total cost of food} = 13 \text{ people} \times 5 \text{ dollars/person} = 65 \text{ dollars} \]

3. Calculate the remaining budget after food:

   • The total budget for the party is $150. The remaining amount after the food cost is: \[ \text{Remaining money} = \text{Total budget} - \text{Total cost of food} = 150 \text{ dollars} - 65 \text{ dollars} = 85 \text{ dollars} \]

4. Determine how many goody bags will be purchased:

   • Since only Kayla's 12 friends are receiving goody bags, the number of goody bags is 12.

5. Calculate the amount \( m \) for each goody bag:

   • The expression for the amount of money spent on each goody bag for the 12 friends is: \[ m = \frac{85 \text{ dollars}}{12 \text{ friends}} \]

Thus, the correct expression representing the amount of money, \( m \), that Kayla’s mom has to spend on each guest's goody bag is: \[ m = \frac{85}{12} \]

If there is a misunderstanding or a different aspect of the problem you are interested in, please clarify, and I'll be happy to help!

Answer 4

12m+5=150
12 m plus 5 equals 150

5(m+12)=150
5 Left Parenthesis m plus 12 Right Parenthesis equals 150

12(m+5)=150
12 Left Parenthesis m plus 5 Right Parenthesis equals 150

m+12(5)=150

Answer 5

Thank you for your points which seem to be equations that pertain to the original problem about Kayla’s birthday party and the budget. Let's analyze these expressions to find the correct one for the context we've discussed before.

1. Understanding the Budget:

   • Kayla's mom has a budget of $150.
   • The cost of food is $5 per person for 13 people (Kayla and 12 friends).
   • We previously calculated that the total cost of food is $65, and thus the remaining budget for goody bags is $85.

2. Finding the Individual Expression: Let's see how the provided equations relate to the overall scenario:

   • Equation 1: \( 12m + 5 = 150 \)
     This equation does not fit because it suggests a $5 cost per goody bag for all 12 bags added to $150 total, which is incorrect.

   • Equation 2: \( 5(m + 12) = 150 \)
     This implies that the food cost ($5) times something (like total number of people) equals $150, but changes the conditions we set. This does not represent the scenario effectively.

   • Equation 3: \( 12(m + 5) = 150 \)
     This equation considers each person receiving a goody bag plus food, but the left side doesn't reflect our breakdown correctly because we need to multiply the number of goody bags by \( m \) and not include the $5 in that way.

   • Equation 4: \( m + 12(5) = 150 \)
     This equation indicates that the remaining total (m for goody bags and the cost for 12 friends at $5 each) equals $150. This suggests $5 cost per person for food, but it's not the proper approach for solving for \( m \).

Correct Approach

Given the above analyses, the following expression accurately captures the situation:

Starting from: \[ \text{Total Budget} = \text{Total cost of food} + \text{Total cost of goody bags} \] Which can be reformulated as: \[ 150 = 65 + 12m \] Here 65 represents the total food cost as computed before.

Solving for \( m \): \[ 150 - 65 = 12m \] \[ 85 = 12m \] \[ m = \frac{85}{12} \]

Conclusion

In the context of the expressions provided, none of these reflect our situation accurately without adjustment. The correct expression based on provided conditions remains: \[ m = \frac{85}{12} \] This represents the correct budget allocated per goody bag after accounting for food. If you need more assistance or clarification on any point, feel free to ask!