SOLUTION: A caterer charges a fixed cost for preparing dinner plus an additional cost for each person served. You know the cost for 100 students will be $750 and the cost for 150 students w

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Question 243074: A caterer charges a fixed cost for preparing dinner plus an additional cost for each person served. You know the cost for 100 students will be $750 and the cost for 150 students will be $1050.
Find caterers fixed cost and the cost per student served.
Can you help solve?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+100y=750
x+150y=1050 subtract.
--------------------------
-50y=-300
y=-300/-50
y=$6 per person.
x+100*6=750
x+600=750
x=750-600
x=$150 is the fixed cost.
Proof:
150+150*6=1050
150+900=1050
1050=1050