A carton packed with 3 bags of chicken powder weighs 9.16 kg. The same carton when packed with 8 such bags of chicken powder weighs 23.51 kg.
- Find the mass of 3 bags of chicken powder in kg.
- Find the mass of the empty carton in kg.
(a)
Let the mass of 1 carton be 1 C.
Let the mass of 1 box of chicken powder be 1 B.
1 C + 3 B = 9.16 --- (1)
1 C + 8 B = 23.51 --- (2)
(2) - (1)
5 B = 23.51 - 9.16
5 B = 14.35
1 B = 14.35 ÷ 5 = 2.87
Mass of 3 bags of chicken powder
= 3 x 2.87
= 8.61 kg
(b)
Mass of the empty carton
= 9.16 - 8.61
= 0.55 kg
Answer(s): (a) 8.61 kg; (b) 0.55 kg