A carton packed with 2 packets of chilli powder weighs 9.99 kg. The same carton when packed with 9 such packets of chilli powder weighs 29.52 kg.
- Find the mass of 2 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 + 2 B = 9.99 --- (1)
1 C + 9 B = 29.52 --- (2)
(2) - (1)
7 B = 29.52 - 9.99
7 B = 19.53
1 B = 19.53 ÷ 7 = 2.79
Mass of 2 packets of chilli powder
= 2 x 2.79
= 5.58 kg
(b)
Mass of the empty carton
= 9.99 - 5.58
= 4.41 kg
Answer(s): (a) 5.58 kg; (b) 4.41 kg