A crate packed with 4 bags of rice flour weighs 8.63 kg. The same crate when packed with 10 such bags of rice flour weighs 21.47 kg.
- Find the mass of 4 bags of rice flour in kg.
- Find the mass of the empty crate in kg.
(a)
Let the mass of 1 crate be 1 C.
Let the mass of 1 box of rice flour be 1 B.
1 C + 4 B = 8.63 --- (1)
1 C + 10 B = 21.47 --- (2)
(2) - (1)
6 B = 21.47 - 8.63
6 B = 12.84
1 B = 12.84 ÷ 6 = 2.14
Mass of 4 bags of rice flour
= 4 x 2.14
= 8.56 kg
(b)
Mass of the empty crate
= 8.63 - 8.56
= 0.07 kg
Answer(s): (a) 8.56 kg; (b) 0.07 kg