SOLUTION: A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the caterer charges a certain amount for each guest. If it cost $3

Question 260956: A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the caterer charges a certain amount for each guest. If it cost $300 to serve 25 guest and $420 to serve 40 guests, find the fixed cost and the cost per guest
I'll really appreciate your help tutors!!
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
F+25X=300
F+40X=420 SUBTRACT.
-----------------
-15X=-120
X=-120/-15
X=$8 PER GUEST.
F+25*8=300
F+200=300
F=300-200
F=$100 IS THE FIXED COST.
PROOF:
100+40*8=420
100+320=420
420=420

RELATED QUESTIONS
A caterer's total cost for catering a party includes a fixed cost, which is the same... (answered by 303795)

A Carrie the Caterer's total cost for catering a party includes a fixed cost, which is... (answered by ewatrrr)

I have to write an inequality equation for the word problem. This is what I came up with. (answered by stanbon)

Katrin is looking at banquet halls for her parents anniversary party. Moonlight hall... (answered by josgarithmetic,ikleyn)

A caterer charges $120 to cater a party for 15 people and $200 for 25 people. Assume the... (answered by Boreal)

You are planning an anniversary party for your parents. A catering company has been... (answered by Kg2003)

Happy Hector and Party Paul are each having a catered party at Fun Factory. Hector�s... (answered by sudhir)

Happy Hector and Party Paul are each having a catered party at Fun Factory. Hector�s... (answered by stanbon)

Jesse�s Catering charges a flat delivery fee of $30, plus $15.25 per person served. Bob�s (answered by josmiceli)