A crate packed with 2 packets of curry powder weighs 4.21 kg. The same crate when packed with 15 such packets of curry powder weighs 29.43 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 = 4.21 --- (1)
1 C + 15 P = 29.43 --- (2)
(2) - (1)
13 P = 29.43 - 4.21
13 P = 25.22
1 P = 25.22 ÷ 13 = 1.94
Mass of 2 packets of curry powder
= 2 x 1.94
= 3.88 kg
(b)
Mass of the empty crate
= 4.21 - 3.88
= 0.33 kg
Answer(s): (a) 3.88 kg; (b) 0.33 kg