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

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

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

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

Answer 1

To determine the amount of money, \( m \), that Kayla's mom has to spend on each guest's goody bag, we first need to account for the total costs involved in the party.

1. There are 12 friends attending and the food will cost $5 per person.
2. The total cost for food is therefore \( 12 \times 5 = 60 \).
3. Kayla’s mom has a total budget of $150.

Now, to find out how much is left for the goody bags after paying for the food, we can subtract the food cost from the total budget: \[ 150 - 60 = 90 \]

This $90 is the total amount available for the goody bags. Since there are 12 goody bags (one for each friend), to find the amount to spend on each goody bag, we would set up the equation: \[ 12m = 90 \] which simplifies to: \[ m = \frac{90}{12} \]

However, the expressions provided in the question have a different perspective. We are looking for the framework that also aligns with the budget and includes the costs for the food.

In the context of the options given:

• 12m + 5 = 150
• 12(m + 5) = 150
• m + 12(5) = 150
• 5(m + 12) = 150

The correct expression would be:

m + 12(5) = 150

This accurately captures the total budget where \( 12(5) \) accounts for the entire food expense ($60), leaving \( m \) (the amount for each goody bag for the 12 friends) as the remaining balance from the total budget ($150).

Thus, the correct choice is: m + 12(5) = 150.