A carton packed with 2 bags of pepper weighs 9.87 kg. The same carton when packed with 6 such bags of pepper weighs 29.39 kg.
- Find the mass of 2 bags of pepper 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 bag of pepper be 1 B.
1 C + 2 B = 9.87 --- (1)
1 C + 6 B = 29.39 --- (2)
(2) - (1)
4 B = 29.39 - 9.87
4 B = 19.52
1 B = 19.52 ÷ 4 = 4.88
Mass of 2 bags of pepper
= 2 x 4.88
= 9.76 kg
(b)
Mass of the empty carton
= 9.87 - 9.76
= 0.11 kg
Answer(s): (a) 9.76 kg; (b) 0.11 kg