A crate packed with 2 packets of curry powder weighs 10.11 kg. The same crate when packed with 6 such packets of curry powder weighs 28.83 kg.
- Find the mass of 2 packets of curry 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 curry powder be 1 P.
1 C + 2 P = 10.11 --- (1)
1 C + 6 P = 28.83 --- (2)
(2) - (1)
4 P = 28.83 - 10.11
4 P = 18.72
1 P = 18.72 ÷ 4 = 4.68
Mass of 2 packets of curry powder
= 2 x 4.68
= 9.36 kg
(b)
Mass of the empty crate
= 10.11 - 9.36
= 0.75 kg
Answer(s): (a) 9.36 kg; (b) 0.75 kg