To determine which expression represents the amount Kayla's mom has to spend on each guest goody bag, let's analyze the situation:
- Kayla's mom has a total budget of $150.
- She is spending $5 per person on food for 12 friends, which is \( 12 \times 5 = 60 \) dollars.
- The total amount that Kayla's mom can spend on goody bags is the total budget minus the food cost: \( 150 - 60 = 90 \) dollars.
- If \( m \) is the amount spent on each goody bag, then for 12 goody bags, the total cost would be \( 12m \).
Now, we can set up an equation based on the remaining budget:
\[ 12m + 60 = 150 \]
Rearranging gives:
\[ 12m = 150 - 60 \] \[ 12m = 90 \]
So the expression that represents the total cost of the goody bags is \( 12m \), and the remaining money after food is $90.
Now, looking at the options provided:
- 5 ( m + 12 ) = 150
- 12 ( m + 5 ) = 150
- m + 12 (5) = 150
- 12m + 5 = 150
From our analysis, none of these directly represent the money left for goody bags in the way that makes the goody bag cost clear. The expression structured correctly in our calculations would have been \( 12m = 90 \).
However, if we had to choose the closest match, 12m + 5 = 150 makes sense since it can rearrange to signify that the total budget (150) minus the 5 could imply leftover for \( 12m \) if interpreted correctly.
Thus, while none perfectly model our deduction, the closest correct expression based on the context would be 12m + 5 = 150.
1 answer