Problema Solution
at a recent convention of millipedes and centipedes held ar a hotel clerk registered 293 guest he notice each millipede had 16 legs and that centipede had 14 legs seth reported that there were 4408 legs in total can you help the clerk figure oug how many registered guest were millipede and centipedes
Answer provided by our tutors
let
x = the number of millipedes
y = the number of centipedes
a hotel clerk registered 293 guest
x + y = 293
16x - the total number of all millipedes
14y - the total number of all centipedes
4408 - the total number of all legs
16x + 14y = 4408
by solving the system of equations
x + y = 293
16x + 14y = 4408
we find
x = 153 millipedes
y = 140 centipedes
there were 153 millipedes and 140 centipedes registered guests.