A carton packed with 3 packets of chilli powder weighs 4.92 kg. The same carton when packed with 14 such packets of chilli powder weighs 21.64 kg.
- Find the mass of 3 packets of chilli 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 bag of chilli powder be 1 B.
1 C + 3 B = 4.92 --- (1)
1 C + 14 B = 21.64 --- (2)
(2) - (1)
11 B = 21.64 - 4.92
11 B = 16.72
1 B = 16.72 ÷ 11 = 1.52
Mass of 3 packets of chilli powder
= 3 x 1.52
= 4.56 kg
(b)
Mass of the empty carton
= 4.92 - 4.56
= 0.36 kg
Answer(s): (a) 4.56 kg; (b) 0.36 kg