A class has flies, worms and spiders. They have a total of 18 creatures and 68 legs in all. How many of each creature do they have? How many differnt combos?

Question

If more combinations what are they?

Answer 1

10 worms 5 flies 3 spiders

sum to 18 creatures and

5(6) +10(1) + 3(8) = 30+10+24= 64 legs

F+W+ S =18

6F + W + 8S = 68 assuming worms have only one "leg"

6F +6W + 6S = 108

6F +W +8S = 68

5W -2S = 40

that's about as far as it seemingly goes.

You have 3 unknowns and 2 equations

which have a multiple if not infinite number of solutions

as you need integer solutions, that makes it a finite number of solutions and possibly just one.

8 = W means S=0 and F= 10 but W,F,S all are>0

10= W means S=5 and F=3

5W-2S =40

other possibilities won't work as they sum to more than 18

12 = W means S=10 12+10>18

14 = W means S= 15

16 = W means S=20

18 = W means S = 25