A crate packed with 3 bags of chilli powder weighs 9.29 kg. The same crate when packed with 15 such bags of chilli powder weighs 22.85 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 = 9.29 --- (1)
1 C + 15 P = 22.85 --- (2)
(2) - (1)
12 P = 22.85 - 9.29
12 P = 13.56
1 P = 13.56 ÷ 12 = 1.13
Mass of 3 bags of chilli powder
= 3 x 1.13
= 3.39 kg
(b)
Mass of the empty crate
= 9.29 - 3.39
= 5.9 kg
Answer(s): (a) 3.39 kg; (b) 5.9 kg