Question

Kayla’s mom is planning her birthday party. She has a budget of $150. She knows that the food will cost $5 per person. Twelve friends are coming to the party. Which expression represents the amount of money, m , Kayla’s mom has to spend on each guest’s goody bag?

Answer 1

To determine the expression for the amount of money, \( m \), Kayla's mom has to spend on each goody bag, we first need to calculate the total cost for the food and then subtract that from the total budget.

1. **Total Budget**: \( 150 \)
2. **Cost of Food per Person**: \( 5 \)
3. **Number of Guests**: \( 12 \)

First, we calculate the total cost of food for all the guests:

\[
\text{Total cost of food} = \text{Cost per person} \times \text{Number of guests} = 5 \times 12 = 60
\]

Next, we find out how much money is left after paying for the food:

\[
\text{Money left for goody bags} = \text{Total Budget} - \text{Total cost of food} = 150 - 60 = 90
\]

Then, we need to divide this remaining amount by the number of guests to find the amount available to spend on each goody bag:

\[
\text{Amount for each goody bag} = \frac{\text{Money left for goody bags}}{\text{Number of guests}} = \frac{90}{12}
\]

Thus, the final expression that represents the amount of money, \( m \), Kayla's mom has to spend on each guest's goody bag can be written as:

\[
m = \frac{150 - (5 \times 12)}{12}
\]

This expression simplifies to:

\[
m = \frac{90}{12}
\]

So, to summarize, the expression is:

\[
m = \frac{150 - 60}{12}
\]