To calculate the amount of money Kayla's mom has to spend on each guest's goody bag, we can start by determining a few key variables and then formulating the expression:
- Total Budget: $150
- Cost of Food: $5 per person
- Number of Friends: 12
First, we need to calculate the total cost of food for the 12 friends:
\[ \text{Total cost of food} = \text{Cost per person} \times \text{Number of friends} = 5 \times 12 = 60 \]
Now, we subtract the total cost of food from the total budget to find out how much money is left for the goody bags:
\[ \text{Remaining budget for goody bags} = \text{Total budget} - \text{Total cost of food} = 150 - 60 = 90 \]
Next, we need to determine how much money can be spent on each goody bag. Since there are 12 goody bags (one for each friend), we divide the remaining budget by the number of friends:
\[ \text{Amount for each goody bag} = \frac{\text{Remaining budget for goody bags}}{\text{Number of friends}} = \frac{90}{12} \]
Finally, we can express this in a single variable expression for \( m \) (the amount spent on each goody bag):
\[ m = \frac{150 - 5 \times 12}{12} \]
This expression represents the amount of money Kayla's mom has to spend on each guest's goody bag.