SOLUTION: A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $750 and the cost for 150 stud
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Question 401354: A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $750 and the cost for 150 students will be $1050.
Find the caterer’s fixed cost and the cost per student served.
You can put this solution on YOUR website! A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $750 and the cost for 150 students will be $1050.
Find the caterer’s fixed cost and the cost per student served.
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fixed cost = x
serving charges per person = y
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x+100y=750.....1
x+150y=1050.....2
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multiply (1) by -1
-x-100y=-750
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Add to (2)
150y-100y=1050-750
50y=300
/50
y=6
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plug y in (1)
x+100*6=750
x=750-600
x=150
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Fixed charge = $150
per student $6
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