A crate packed with 3 bags of chilli powder weighs 7.11 kg. The same crate when packed with 14 such bags of chilli powder weighs 23.94 kg.
- Find the mass of 3 bags of chilli 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 packet of chilli powder be 1 P.
1 C + 3 P = 7.11 --- (1)
1 C + 14 P = 23.94 --- (2)
(2) - (1)
11 P = 23.94 - 7.11
11 P = 16.83
1 P = 16.83 ÷ 11 = 1.53
Mass of 3 bags of chilli powder
= 3 x 1.53
= 4.59 kg
(b)
Mass of the empty crate
= 7.11 - 4.59
= 2.52 kg
Answer(s): (a) 4.59 kg; (b) 2.52 kg