A crate packed with 2 packets of curry powder weighs 10.43 kg. The same crate when packed with 14 such packets of curry powder weighs 23.63 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 box of curry powder be 1 B.
1 C + 2 B = 10.43 --- (1)
1 C + 14 B = 23.63 --- (2)
(2) - (1)
12 B = 23.63 - 10.43
12 B = 13.2
1 B = 13.2 ÷ 12 = 1.1
Mass of 2 packets of curry powder
= 2 x 1.1
= 2.2 kg
(b)
Mass of the empty crate
= 10.43 - 2.2
= 8.23 kg
Answer(s): (a) 2.2 kg; (b) 8.23 kg