Clara is planning a party. She has budgeted $30 to spend on sandwiches that cost $2.50 per

Question

person, $25 to spend on drinks that cost $1.50 per person, and $25 to spend on gift bags that
cost $3 per person. How much money will Clara have left over if x people attend the party,
including herself?

Answer 1

To find out how much money Clara will have left over after paying for sandwiches, drinks, and gift bags for \(x\) people, we need to calculate the total costs for each category and subtract those costs from her total budget.

1. Calculate the total budget: Clara's total budget is: \[ 30 + 25 + 25 = 80 \text{ dollars} \]

2. Calculate the cost for sandwiches: The cost for sandwiches per person is $2.50, so for \(x\) people, the total cost for sandwiches is: \[ 2.50x \]

3. Calculate the cost for drinks: The cost for drinks per person is $1.50, so for \(x\) people, the total cost for drinks is: \[ 1.50x \]

4. Calculate the cost for gift bags: The cost for gift bags per person is $3.00, so for \(x\) people, the total cost for gift bags is: \[ 3.00x \]

5. Total cost for the party: We can combine the costs from all three categories: \[ \text{Total cost} = (2.50 + 1.50 + 3.00)x = 7.00x \]

6. Calculate the remaining money: The amount of money Clara will have left after the costs is the total budget minus the total costs: \[ \text{Remaining money} = 80 - 7.00x \]

Therefore, the amount of money Clara will have left over if \(x\) people attend the party, including herself, is represented by the equation: \[ 80 - 7.00x \]