A crate packed with 3 bags of bread flour weighs 10.33 kg. The same crate when packed with 15 such bags of bread flour weighs 28.45 kg.
- Find the mass of 3 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 + 3 B = 10.33 --- (1)
1 C + 15 B = 28.45 --- (2)
(2) - (1)
12 B = 28.45 - 10.33
12 B = 18.12
1 B = 18.12 ÷ 12 = 1.51
Mass of 3 bags of bread flour
= 3 x 1.51
= 4.53 kg
(b)
Mass of the empty crate
= 10.33 - 4.53
= 5.8 kg
Answer(s): (a) 4.53 kg; (b) 5.8 kg