A carton packed with 4 bags of pepper weighs 10.53 kg. The same carton when packed with 9 such bags of pepper weighs 21.83 kg.
- Find the mass of 4 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 packet of pepper be 1 P.
1 C + 4 P = 10.53 --- (1)
1 C + 9 P = 21.83 --- (2)
(2) - (1)
5 P = 21.83 - 10.53
5 P = 11.3
1 P = 11.3 ÷ 5 = 2.26
Mass of 4 bags of pepper
= 4 x 2.26
= 9.04 kg
(b)
Mass of the empty carton
= 10.53 - 9.04
= 1.49 kg
Answer(s): (a) 9.04 kg; (b) 1.49 kg