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)
Responses

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

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

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

12m+5=150

1 answer

Kayla's mom has a budget of $150. She will spend $5 per person on food for 12 friends, which totals to \( 12 \times 5 = 60 \).

She needs to find how much she can spend on each goody bag (denoted as \( m \)) after paying for the food. Therefore, the amount left for the goody bags after covering food costs is \( 150 - 60 = 90 \).

Considering each goody bag is for 12 friends, she needs to represent the total spent on goody bags (which is \( 12m \)) to equal the remaining budget:

So the equation representing this situation would be: \[ 12m = 90 \]

However, if we want to put it into the form of a single equation using one of the options, we can rearrange:

Starting with the known values, \[ 12(m + 5) = 150 \] This accounts for both the goody bags and the food costs in a single equation.

So the correct expression is: 12(m + 5) = 150.