To determine how much money Kayla’s mom has available to spend on each guest’s goody bag, we need to consider the total budget and the costs associated with the party.
- The total budget is $150.
- The cost per person for food is $5.
- There are 12 friends attending the party.
First, calculate the total cost for the food: \[ \text{Total food cost} = 5 \text{ dollars per person} \times 12 \text{ people} = 60 \text{ dollars} \]
Next, we can find out how much money is left for the goody bags after spending on food: \[ \text{Money left for goody bags} = 150 \text{ dollars} - 60 \text{ dollars} = 90 \text{ dollars} \]
Now, if \( m \) represents the amount of money Kayla’s mom can spend on each guest’s goody bag, and there are 12 guests, the total cost of the goody bags would be \( 12m \).
The equation representing the situation is: \[ 12m + 60 = 150 \] Which can be rearranged to: \[ 12m = 150 - 60 \Rightarrow 12m = 90 \]
This equation does not appear in the provided options, but we can rewrite it in a different form:
To express how much is left for the goody bags, we can use: \[ m + 12(5) = 150 \]
Here, \( 12(5) \) represents the total cost of the food, which is $60. Thus, this option correctly represents the situation. Hence, the correct option from the provided choices is:
C. m + 12(5) = 150.