A catering company charges a $300.00 set up fee and $10.00 per person for a lunch buffet. Approximately how many people must attend the lunch so that the total cost per person is $14.00? (1 point)
• 75 people
• 30 people
• 214 people
• 440 people
14x = 300 + 10x
4x = 300
x = 75
Thank you - helps to know how.
You're welcome. :-)
To find out how many people must attend the lunch so that the total cost per person is $14.00, we need to set up an equation based on the given information.
Let's denote the number of people attending the lunch as 'x'. The total cost per person is $14.00, so the total cost for 'x' people would be 14 times 'x', which can be represented as 14x.
According to the information given, the catering company charges a $300.00 set-up fee and $10.00 per person for a lunch buffet. So, the total cost for the buffet would be $300.00 (set-up fee) plus $10.00 per person, which can be represented as 300 + 10x.
We can set up the equation as:
300 + 10x = 14x
Now, we can solve this equation to find the value of 'x'.
Subtracting 10x from both sides of the equation, we get:
300 = 4x
Dividing both sides of the equation by 4, we find:
x = 75
Therefore, approximately 75 people must attend the lunch so that the total cost per person is $14.00.
So, the answer is:
• 75 people