A carton packed with 4 packets of pepper weighs 8.79 kg. The same carton when packed with 13 such packets of pepper weighs 22.92 kg.
- Find the mass of 4 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 + 4 P = 8.79 --- (1)
1 C + 13 P = 22.92 --- (2)
(2) - (1)
9 P = 22.92 - 8.79
9 P = 14.13
1 P = 14.13 ÷ 9 = 1.57
Mass of 4 packets of pepper
= 4 x 1.57
= 6.28 kg
(b)
Mass of the empty carton
= 8.79 - 6.28
= 2.51 kg
Answer(s): (a) 6.28 kg; (b) 2.51 kg