3.75x + 3.50y = 36.25 where x and y are the number of people to order turkey and beef respectively.
also we x + y = 10
so we have to solve this system of 2 equations
from the second equation y = 10 -x so substituting in first equn.:-
3.75x + 3.50(10-x) = 36.25
0.25x = 36.25 - 35 = 1.25
x = 1.25 / 0.25 = 5
so 5 people ordered turkey