The length of a stick is 8 m 2 cm long. Sabrina cut the stick into 3 pieces. The length of the first piece of the stick is 46 cm. The length of the second piece of the stick is 5 m shorter than the third piece. What is the length of the third piece of stick?
1 m = 100 cm

Difference in the length between the second and the third piece
= 5 m
= 5 x 100
= 500 cm

Length of a stick
= 8 m 2 cm
= 8 x 100 + 2
= 802 cm

Length of the first piece = 46 cm
Length of the second piece = 1 u
Length of the third piece = 1 u + 500 cm

1 u + 1 u + 500 + 46 = 802
2 u + 546 = 802
2 u = 802 - 546 = 256
1 u = 256 ÷ 2 = 128 

Length of the third piece of stick
= 1 u + 500
= 128 + 500
= 628 cm

Answer(s): 628 cm