A carton packed with 3 packets of pepper weighs 9.28 kg. The same carton when packed with 8 such packets of pepper weighs 23.43 kg.
- Find the mass of 3 packets 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 + 3 P = 9.28 --- (1)
1 C + 8 P = 23.43 --- (2)
(2) - (1)
5 P = 23.43 - 9.28
5 P = 14.15
1 P = 14.15 ÷ 5 = 2.83
Mass of 3 packets of pepper
= 3 x 2.83
= 8.49 kg
(b)
Mass of the empty carton
= 9.28 - 8.49
= 0.79 kg
Answer(s): (a) 8.49 kg; (b) 0.79 kg