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

Question

, Kayla’s mom has to spend on each guest’s goody bag?(1 point)
Responses

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

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

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

5(m+12)=150

Answer 1

To determine the correct expression, we need to consider the total budget of $150, the cost of food for the 12 guests, and the amount Kayla's mom wants to spend on each guest's goody bag.

1. The cost of food for 12 friends at $5 per person is \( 12 \times 5 = 60 \).

2. After spending $60 on food, the remaining budget for the goody bags is: \[ 150 - 60 = 90 \]

3. If \( m \) represents the amount of money spent on each goody bag, then the total spent on the goody bags for 12 friends is \( 12m \).

4. Setting up the equation based on the remaining budget, we have: \[ 12m = 90 \]

Looking at the provided options, the correct expression for the amount of money Kayla’s mom has to spend on each goody bag can be found from the rearranged equation above. However, none of the given options directly match this scenario.

The closest option that illustrates the relationship is:

• m + 12(5) = 150

But if we adjust the equation to express the cost covered by the goody bags directly, we would write it properly as:

• 12m + 60 = 150 (from which we could rearrange to find \( m \)).

Given the clarification of the problem, the expression best resembling our situation is: m + 12(5) = 150, where \( 12(5) \) represents the fixed cost of food that accumulates.

So, the most appropriate response from the available choices is: m + 12(5) = 150.