To determine the correct expression that represents the amount of money, \( m \), Kayla’s mom has to spend on each guest’s goody bag, let's break down the problem:
- The total budget for the party is $150.
- The food costs $5 per person, and there are 12 friends coming. Thus, the cost for food is \( 5 \times 12 \).
- Therefore, the total cost for food is \( 60 \) dollars (since \( 5 \times 12 = 60 \)).
- After paying for the food, the remaining budget for the goody bags would be \( 150 - 60 = 90 \) dollars.
- There are 12 goody bags, so the cost per goody bag can be represented by \( m \).
Since they need to fit within a total budget after accounting for food, we have:
\[ 12m + 60 = 150 \]
Thus,
\[ 12m = 150 - 60 \]
This simplifies to:
\[ 12m = 90 \]
Therefore, the expression that represents the amount of money, \( m \), Kayla’s mom has to spend on each guest’s goody bag is:
12m + 60 = 150
However, since that's not directly an option provided, it seems the closest match is:
12m + 5 = 150
Although, this is not entirely accurate as the “5” should actually reflect the total food cost rather than a flat number. The correct underlying logic is that the total amount for goody bags would be set against the remaining budget after deducting food costs, which isn't accurately represented by any of the options.
Nonetheless, if we just consider the options you've provided, the better fit based on \( 12m \) logic is:
12m + 5 = 150 (but strictly speaking, it's incorrect based on the food total).
In conclusion, it seems there might be an error in the responses provided as they don't fully encapsulate what the problem intends.
6 answers