Question

A catering company charges a $300 set up fee and $10 per person for a lunch buffet. Approximately how many people must attend the lunch so that the total cost per person is $14?

Answer 1

CATERING TOTAL COST F(X) = 10X + 300

TOTAL REQUIRED 14X

10X + 300 = 14X

10X - 14X = -300

-4X = -300

4X = 300

X= 300/4

X=75 <------------------SOLUTION

Answer 2

Let x be the number of person and y be the total cost per person.

As per the statement:

A catering company charges a $300 set up fee and $10 per person for a lunch buffet.

"$10 per person" translated to 10x

then;

Total cost per person = 10x+300

It is also given that: total cost per person is $14.

⇒
`14x=10x+300`

Subtract 10x from both sides we have;

`4x = 300`

Divide both sides by 4 we have;

x = 75

Therefore, 75 number of people must attend the lunch so that the total cost per person is $14