A crate packed with 3 packets of bread flour weighs 8.19 kg. The same crate when packed with 15 such packets of bread flour weighs 24.51 kg.
- Find the mass of 3 packets 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 packet of bread flour be 1 P.
1 C + 3 P = 8.19 --- (1)
1 C + 15 P = 24.51 --- (2)
(2) - (1)
12 P = 24.51 - 8.19
12 P = 16.32
1 P = 16.32 ÷ 12 = 1.36
Mass of 3 packets of bread flour
= 3 x 1.36
= 4.08 kg
(b)
Mass of the empty crate
= 8.19 - 4.08
= 4.11 kg
Answer(s): (a) 4.08 kg; (b) 4.11 kg