A crate packed with 2 packets of pepper weighs 6.07 kg. The same crate when packed with 9 such packets of pepper weighs 24.13 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 = 6.07 --- (1)
1 C + 9 B = 24.13 --- (2)
(2) - (1)
7 B = 24.13 - 6.07
7 B = 18.06
1 B = 18.06 ÷ 7 = 2.58
Mass of 2 packets of pepper
= 2 x 2.58
= 5.16 kg
(b)
Mass of the empty crate
= 6.07 - 5.16
= 0.91 kg
Answer(s): (a) 5.16 kg; (b) 0.91 kg