A carton packed with 3 packets of rice flour weighs 9.76 kg. The same carton when packed with 7 such packets of rice flour weighs 21.44 kg.
- Find the mass of 3 packets 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 box of rice flour be 1 B.
1 C + 3 B = 9.76 --- (1)
1 C + 7 B = 21.44 --- (2)
(2) - (1)
4 B = 21.44 - 9.76
4 B = 11.68
1 B = 11.68 ÷ 4 = 2.92
Mass of 3 packets of rice flour
= 3 x 2.92
= 8.76 kg
(b)
Mass of the empty carton
= 9.76 - 8.76
= 1 kg
Answer(s): (a) 8.76 kg; (b) 1 kg