A crate packed with 2 packets of pepper weighs 9.47 kg. The same crate when packed with 15 such packets of pepper weighs 27.67 kg.
- Find the mass of 2 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 bag of pepper be 1 B.
1 C + 2 B = 9.47 --- (1)
1 C + 15 B = 27.67 --- (2)
(2) - (1)
13 B = 27.67 - 9.47
13 B = 18.2
1 B = 18.2 ÷ 13 = 1.4
Mass of 2 packets of pepper
= 2 x 1.4
= 2.8 kg
(b)
Mass of the empty crate
= 9.47 - 2.8
= 6.67 kg
Answer(s): (a) 2.8 kg; (b) 6.67 kg