A crate packed with 2 bags of bread flour weighs 10.39 kg. The same crate when packed with 5 such bags of bread flour weighs 23.68 kg.
- Find the mass of 2 bags of bread 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 bread flour be 1 B.
1 C + 2 B = 10.39 --- (1)
1 C + 5 B = 23.68 --- (2)
(2) - (1)
3 B = 23.68 - 10.39
3 B = 13.29
1 B = 13.29 ÷ 3 = 4.43
Mass of 2 bags of bread flour
= 2 x 4.43
= 8.86 kg
(b)
Mass of the empty crate
= 10.39 - 8.86
= 1.53 kg
Answer(s): (a) 8.86 kg; (b) 1.53 kg