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abruzzese [7]
3 years ago
5

A catering company charges a $300 set up fee and $10 per person for a lunch buffet. Approximately how many people must attend th

e lunch so that the total cost per person is $14?
Mathematics
2 answers:
kiruha [24]3 years ago
7 0


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

alisha [4.7K]3 years ago
3 0

Answer:

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

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