Question

If 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 caterers fixed cost and the cost per student served.

Answer 1

It would be $6 per student while the fixed cost is $150

Answer 2

$x+100y=750 \\ x+150y=1050 \\ 50y=300 \\ y=6 \\ x=750-600=150$
The fixed cost is $150, while the per-student cost is $6.