A crate packed with 3 packets of pepper weighs 7.69 kg. The same crate when packed with 15 such packets of pepper weighs 22.45 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 box of pepper be 1 B.
1 C + 3 B = 7.69 --- (1)
1 C + 15 B = 22.45 --- (2)
(2) - (1)
12 B = 22.45 - 7.69
12 B = 14.76
1 B = 14.76 ÷ 12 = 1.23
Mass of 3 packets of pepper
= 3 x 1.23
= 3.69 kg
(b)
Mass of the empty crate
= 7.69 - 3.69
= 4 kg
Answer(s): (a) 3.69 kg; (b) 4 kg