A container filled with 14 honeydews has a mass of 12.82 kg. The same container when filled with 6 pears has a mass of 1.12 kg. The mass of 1 honeydew is six times the mass of 1 pear. Find the mass of the container when it is empty. Express the answer in g.
1 kg = 1000 g

12.82 kg = 12820 g
1.12 kg = 1120 g

1 pear = 1 u
6 pears = 6 x 1 u = 6 u

1 container + 6 pears = 1120
1 container + 6 u = 1120 --- (1)

1 honeydew = 6 u
14 honeydews = 14 x 6 u = 84 u

1 container + 14 honeydews = 12820
1 container + 84 u = 12820 --- (2)

(2) - (1)
84 u - 6 u = 12820 - 1120
78 u = 11700

1 u = 11700 ÷ 78 = 150

6 u = 6 x 150 = 900

From (1):
1 container + 6 u = 1120
1 container + 900 = 1120
 
1 container = 1120 - 900 = 220

Mass of 1 container = 220 g

Answer(s): 220 g