A container packed with 2 packets of chicken powder weighs 10.37 kg. The same container when packed with 9 such packets of chicken powder weighs 21.85 kg.
- Find the mass of 2 packets of chicken powder 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 chicken powder be 1 P.
1 C + 2 P = 10.37 --- (1)
1 C + 9 P = 21.85 --- (2)
(2) - (1)
7 P = 21.85 - 10.37
7 P = 11.48
1 P = 11.48 ÷ 7 = 1.64
Mass of 2 packets of chicken powder
= 2 x 1.64
= 3.28 kg
(b)
Mass of the empty container
= 10.37 - 3.28
= 7.09 kg
Answer(s): (a) 3.28 kg; (b) 7.09 kg