A container packed with 3 bags of sugar weighs 7.87 kg. The same container when packed with 12 such bags of sugar weighs 28.84 kg.
- Find the mass of 3 bags of sugar in kg.
- Find the mass of the empty container in kg.
(a)
Let the mass of 1 container be 1 C.
Let the mass of 1 packet of sugar be 1 P.
1 C + 3 P = 7.87 --- (1)
1 C + 12 P = 28.84 --- (2)
(2) - (1)
9 P = 28.84 - 7.87
9 P = 20.97
1 P = 20.97 ÷ 9 = 2.33
Mass of 3 bags of sugar
= 3 x 2.33
= 6.99 kg
(b)
Mass of the empty container
= 7.87 - 6.99
= 0.88 kg
Answer(s): (a) 6.99 kg; (b) 0.88 kg