A carton packed with 2 bags of curry powder weighs 9.95 kg. The same carton when packed with 8 such bags of curry powder weighs 30.29 kg.
- Find the mass of 2 bags of curry 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 curry powder be 1 B.
1 C + 2 B = 9.95 --- (1)
1 C + 8 B = 30.29 --- (2)
(2) - (1)
6 B = 30.29 - 9.95
6 B = 20.34
1 B = 20.34 ÷ 6 = 3.39
Mass of 2 bags of curry powder
= 2 x 3.39
= 6.78 kg
(b)
Mass of the empty carton
= 9.95 - 6.78
= 3.17 kg
Answer(s): (a) 6.78 kg; (b) 3.17 kg