A crate packed with 3 packets of flour weighs 7.51 kg. The same crate when packed with 11 such packets of flour weighs 21.27 kg.
- Find the mass of 3 packets 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 + 3 B = 7.51 --- (1)
1 C + 11 B = 21.27 --- (2)
(2) - (1)
8 B = 21.27 - 7.51
8 B = 13.76
1 B = 13.76 ÷ 8 = 1.72
Mass of 3 packets of flour
= 3 x 1.72
= 5.16 kg
(b)
Mass of the empty crate
= 7.51 - 5.16
= 2.35 kg
Answer(s): (a) 5.16 kg; (b) 2.35 kg