SOLUTION: 17. When catering a wedding reception, Cathy’s Caterers charges a fixed amount plus a certain amount for each guest. The charge for 75 guests is $312.50 and the charge for 200 g

Algebra ->  Systems-of-equations -> SOLUTION: 17. When catering a wedding reception, Cathy’s Caterers charges a fixed amount plus a certain amount for each guest. The charge for 75 guests is $312.50 and the charge for 200 g      Log On


   



Question 1055628: 17. When catering a wedding reception, Cathy’s Caterers charges a fixed amount plus a certain amount for
each guest. The charge for 75 guests is $312.50 and the charge for 200 guests is $750. What are the fixed charge and the charge per guest?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be charge per guest AND y be the fixed amount
200x + y = $750
75x + y = $312.50 Subtract 2nd EQ from 1stEQ
125x = $437.50
x = $3.50, charge per guest
y = $50.00, fixed amount