A carton packed with 3 bags of chilli powder weighs 7.23 kg. The same carton when packed with 11 such bags of chilli powder weighs 22.67 kg.
- Find the mass of 3 bags 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 = 7.23 --- (1)
1 C + 11 B = 22.67 --- (2)
(2) - (1)
8 B = 22.67 - 7.23
8 B = 15.44
1 B = 15.44 ÷ 8 = 1.93
Mass of 3 bags of chilli powder
= 3 x 1.93
= 5.79 kg
(b)
Mass of the empty carton
= 7.23 - 5.79
= 1.44 kg
Answer(s): (a) 5.79 kg; (b) 1.44 kg