A crate packed with 4 packets of chicken powder weighs 10.37 kg. The same crate when packed with 15 such packets of chicken powder weighs 23.57 kg.
- Find the mass of 4 packets of chicken 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 chicken powder be 1 B.
1 C + 4 B = 10.37 --- (1)
1 C + 15 B = 23.57 --- (2)
(2) - (1)
11 B = 23.57 - 10.37
11 B = 13.2
1 B = 13.2 ÷ 11 = 1.2
Mass of 4 packets of chicken powder
= 4 x 1.2
= 4.8 kg
(b)
Mass of the empty crate
= 10.37 - 4.8
= 5.57 kg
Answer(s): (a) 4.8 kg; (b) 5.57 kg