In a handicraft workshop the number of women is 8 less than three times the number of men. Altogether 64 people work there. How many MEN are there?

Let there be m men, so the women number 3m − 8. Then m + (3m − 8) = 64 → 4m = 72 → m = 18. Check: 18 men and 3(18) − 8 = 46 women make 64. The trap 46 is the number of women, and 16 comes from dividing 64 by 4 while ignoring the −8.