Step-by-step explanation:
The moments around the fulcrum must = 0 for the balance to occur .
Moment of the mass of ruler on the left ( 18 of the 80 cm)
9 * 18/80 m
Moment of the 50 kg mass
10 * 50
Moment of the Right side of the ruler (62 of the 80 cm)
62/80m * 31
9 * 18/80 m + 10 * 50 = 62/80 m * 31
2.025 m + 500 = 24.025 m
m = 22.73 kg