A crate packed with 2 bags of flour weighs 9.75 kg. The same crate when packed with 11 such bags of flour weighs 28.11 kg.
- Find the mass of 2 bags of 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 flour be 1 B.
1 C + 2 B = 9.75 --- (1)
1 C + 11 B = 28.11 --- (2)
(2) - (1)
9 B = 28.11 - 9.75
9 B = 18.36
1 B = 18.36 ÷ 9 = 2.04
Mass of 2 bags of flour
= 2 x 2.04
= 4.08 kg
(b)
Mass of the empty crate
= 9.75 - 4.08
= 5.67 kg
Answer(s): (a) 4.08 kg; (b) 5.67 kg