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

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

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

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

12(m+5)=150

1 answer

To find the expression that represents the amount of money, \( m \), Kayla’s mom has to spend on each guest’s goody bag, we need to start with the total budget and deduct the costs for food.

  1. Total Budget: $150
  2. Cost for food: $5 per person
  3. Number of friends: 12

Now, calculate the total cost for food for all 12 friends:

  • Total food cost = \( 5 \times 12 = 60 \)

Next, deduct this cost from the total budget to find out how much is left for goody bags:

  • Money left for goody bags = \( 150 - 60 = 90 \)

Now, let \( m \) be the amount spent on each goody bag. Since there are 12 goody bags, the total amount spent on goody bags will be \( 12m \).

So, we can set up the equation: \[ 12m = 90 \]

This can be rearranged to fit whatever expression you are looking for. In terms of the options provided:

  • \( m + 12(5) = 150 \) - does not correctly represent the scenario.
  • \( 12(m + 5) = 150 \) - does not work either.

The correct representation, as derived from our calculations, does not exactly match any of the options, but if you are looking for a close single expression regarding total spendings, you would solve for \( m \) directly: \[ 12m + 60 = 150 \] which could be rearranged.

Among your options, none seem to match, but if you mean your \( m \) spending, it would be \( m = 90 / 12 \), giving \( m = 7.5 \) per goody bag.

If there is a mistake in the options provided or more specifics, clarification will be welcomed!