A crate packed with 3 packets of pepper weighs 9.29 kg. The same crate when packed with 9 such packets of pepper weighs 24.17 kg.
- Find the mass of 3 packets of pepper 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 pepper be 1 P.
1 C + 3 P = 9.29 --- (1)
1 C + 9 P = 24.17 --- (2)
(2) - (1)
6 P = 24.17 - 9.29
6 P = 14.88
1 P = 14.88 ÷ 6 = 2.48
Mass of 3 packets of pepper
= 3 x 2.48
= 7.44 kg
(b)
Mass of the empty crate
= 9.29 - 7.44
= 1.85 kg
Answer(s): (a) 7.44 kg; (b) 1.85 kg