To find the expression that represents the amount of money Kayla's mom has to spend on each guest goodie bag, we start with the total budget and subtract the total cost of the food.
- Budget: $150
- Cost of food per person: $5
- Number of guests: 12
First, we calculate the total cost of food:
\[ \text{Total cost of food} = \text{Cost per person} \times \text{Number of guests} = 5 \times 12 = 60 \]
Next, we subtract the total cost of food from the budget to determine how much is left for the guest goodie bags:
\[ \text{Remaining budget} = \text{Total budget} - \text{Total cost of food} = 150 - 60 = 90 \]
Now, since there are 12 guests, we need to divide the remaining budget by the number of guests to find out how much money can be spent on each guest goodie bag:
\[ \text{Amount per guest goodie bag} = \frac{\text{Remaining budget}}{\text{Number of guests}} = \frac{90}{12} \]
Therefore, the expression that represents the amount of money Kayla's mom has to spend on each guest goodie bag is:
\[ \frac{150 - 5 \times 12}{12} \]
This simplifies down to:
\[ \frac{90}{12} \]
So she has $7.50 to spend on each guest goodie bag if calculated numerically.
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