A carton packed with 2 bags of rice flour weighs 10.05 kg. The same carton when packed with 9 such bags of rice flour weighs 21.39 kg.
- Find the mass of 2 bags of rice flour 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 rice flour be 1 P.
1 C + 2 P = 10.05 --- (1)
1 C + 9 P = 21.39 --- (2)
(2) - (1)
7 P = 21.39 - 10.05
7 P = 11.34
1 P = 11.34 ÷ 7 = 1.62
Mass of 2 bags of rice flour
= 2 x 1.62
= 3.24 kg
(b)
Mass of the empty carton
= 10.05 - 3.24
= 6.81 kg
Answer(s): (a) 3.24 kg; (b) 6.81 kg