To determine the expression for the amount of money, \( m \), Kayla's mom has to spend on each goody bag, we first need to calculate the total cost for the food and then subtract that from the total budget.
- Total Budget: \( 150 \)
- Cost of Food per Person: \( 5 \)
- Number of Guests: \( 12 \)
First, we calculate the total cost of food for all the guests:
\[ \text{Total cost of food} = \text{Cost per person} \times \text{Number of guests} = 5 \times 12 = 60 \]
Next, we find out how much money is left after paying for the food:
\[ \text{Money left for goody bags} = \text{Total Budget} - \text{Total cost of food} = 150 - 60 = 90 \]
Then, we need to divide this remaining amount by the number of guests to find the amount available to spend on each goody bag:
\[ \text{Amount for each goody bag} = \frac{\text{Money left for goody bags}}{\text{Number of guests}} = \frac{90}{12} \]
Thus, the final expression that represents the amount of money, \( m \), Kayla's mom has to spend on each guest's goody bag can be written as:
\[ m = \frac{150 - (5 \times 12)}{12} \]
This expression simplifies to:
\[ m = \frac{90}{12} \]
So, to summarize, the expression is:
\[ m = \frac{150 - 60}{12} \]