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?(1 point)
Responses

m+12(5)=150
m plus 12 Left Parenthesis 5 Right Parenthesis equals 150

5(m+12)=150
5 Left Parenthesis m plus 12 Right Parenthesis equals 150

12m+5=150
12 m plus 5 equals 150

12(m+5)=150

1 answer

To find out how much money Kayla's mom can spend on each guest's goody bag, let's analyze the problem step by step.

  1. Food Costs: Kayla’s mom is inviting 12 friends, and the food costs $5 per person. So, the total cost for the food can be calculated as: \[ 12 \text{ (friends)} \times 5 \text{ (cost per person)} = 60 \]

  2. Total Budget: The total budget for the party is $150.

  3. Remaining Budget for Goody Bags: To find out how much is left for the goody bags after accounting for food, we subtract the food cost from the total budget: \[ 150 \text{ (total budget)} - 60 \text{ (food cost)} = 90 \]

  4. Goody Bag Cost per Guest: If we let \( m \) be the amount of money spent on each goody bag, then for 12 guests, the total cost of the goody bags would be \( 12m \).

Now, we can represent the relationship mathematically with the following equation: \[ 12m + 60 = 150 \]

This could also be rearranged to find \( m \): \[ 12m = 150 - 60 \] \[ 12m = 90 \]

Thus, the correct expression that represents the amount of money \( m \) Kayla’s mom has to spend on each guest’s goody bag is: \[ 12m + 60 = 150 \]

Since these expressions were provided as options, the best suited choice that fits is: 12m + 5 = 150 (although it contains an error with the food cost, the closest valid structure to relate total expenditure through other specified options).

None of the options accurately represent 12m + 60 = 150, but rather a simple structure when allowing for the food on cost; thus, shape may not hold true here in question-parameterization provided. Clarification of either or direct could be directive to adjust framing phrasing in count readings connection here.