A crate packed with 3 bags of rice flour weighs 7.73 kg. The same crate when packed with 9 such bags of rice flour weighs 21.23 kg.
- Find the mass of 3 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 bag of rice flour be 1 B.
1 C + 3 B = 7.73 --- (1)
1 C + 9 B = 21.23 --- (2)
(2) - (1)
6 B = 21.23 - 7.73
6 B = 13.5
1 B = 13.5 ÷ 6 = 2.25
Mass of 3 bags of rice flour
= 3 x 2.25
= 6.75 kg
(b)
Mass of the empty crate
= 7.73 - 6.75
= 0.98 kg
Answer(s): (a) 6.75 kg; (b) 0.98 kg