A carton packed with 2 bags of rice flour weighs 8.61 kg. The same carton when packed with 13 such bags of rice flour weighs 30.28 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 = 8.61 --- (1)
1 C + 13 P = 30.28 --- (2)
(2) - (1)
11 P = 30.28 - 8.61
11 P = 21.67
1 P = 21.67 ÷ 11 = 1.97
Mass of 2 bags of rice flour
= 2 x 1.97
= 3.94 kg
(b)
Mass of the empty carton
= 8.61 - 3.94
= 4.67 kg
Answer(s): (a) 3.94 kg; (b) 4.67 kg