A crate packed with 2 bags of pepper weighs 9.95 kg. The same crate when packed with 5 such bags of pepper weighs 24.29 kg.
- Find the mass of 2 bags 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 box of pepper be 1 B.
1 C + 2 B = 9.95 --- (1)
1 C + 5 B = 24.29 --- (2)
(2) - (1)
3 B = 24.29 - 9.95
3 B = 14.34
1 B = 14.34 ÷ 3 = 4.78
Mass of 2 bags of pepper
= 2 x 4.78
= 9.56 kg
(b)
Mass of the empty crate
= 9.95 - 9.56
= 0.39 kg
Answer(s): (a) 9.56 kg; (b) 0.39 kg