A crate packed with 2 bags of chicken powder weighs 9.93 kg. The same crate when packed with 8 such bags of chicken powder weighs 22.23 kg.
- Find the mass of 2 bags of chicken powder in kg.
- Find the mass of the empty crate in kg.
(a)
Let the mass of 1 crate be 1 C.
Let the mass of 1 box of chicken powder be 1 B.
1 C + 2 B = 9.93 --- (1)
1 C + 8 B = 22.23 --- (2)
(2) - (1)
6 B = 22.23 - 9.93
6 B = 12.3
1 B = 12.3 ÷ 6 = 2.05
Mass of 2 bags of chicken powder
= 2 x 2.05
= 4.1 kg
(b)
Mass of the empty crate
= 9.93 - 4.1
= 5.83 kg
Answer(s): (a) 4.1 kg; (b) 5.83 kg