A crate packed with 2 bags of pepper weighs 6.35 kg. The same crate when packed with 12 such bags of pepper weighs 29.85 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 = 6.35 --- (1)
1 C + 12 B = 29.85 --- (2)
(2) - (1)
10 B = 29.85 - 6.35
10 B = 23.5
1 B = 23.5 ÷ 10 = 2.35
Mass of 2 bags of pepper
= 2 x 2.35
= 4.7 kg
(b)
Mass of the empty crate
= 6.35 - 4.7
= 1.65 kg
Answer(s): (a) 4.7 kg; (b) 1.65 kg