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

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

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

12m+5=150

Answer 1

To find the expression that represents the amount of money, \( m \), Kayla's mom has to spend on each guest's goody bag, we start with the total budget and the costs involved.

1. Kayla's mom has a total budget of $150.
2. She has 12 friends coming to the party, and the food will cost $5 per person.

The total cost for food is: \[ 12 \text{ friends} \times 5 \text{ dollars/person} = 60 \text{ dollars} \]

Now, subtract the food cost from the total budget to find out how much money is left for the goody bags: \[ 150 \text{ dollars} - 60 \text{ dollars} = 90 \text{ dollars} \]

This $90 needs to be evenly distributed among the 12 guests for the goody bags.

Let \( m \) represent the cost of each goody bag. Then, the total cost of the goody bags for 12 guests can be expressed as \( 12m \).

Now we can set up the equation based on the money left for the goody bags: \[ 12m = 90 \]

However, if we include the total cost of the food in the equation as well, it would look like this: \[ m + 12(5) = 150 \]

So, the correct expression that represents the amount of money \( m \) that Kayla’s mom has to spend on each guest’s goody bag is: m + 12(5) = 150