A container packed with 3 bags of pepper weighs 10.07 kg. The same container when packed with 8 such bags of pepper weighs 20.82 kg.
- Find the mass of 3 bags of pepper in kg.
- Find the mass of the empty container in kg.
(a)
Let the mass of 1 container be 1 C.
Let the mass of 1 packet of pepper be 1 P.
1 C + 3 P = 10.07 --- (1)
1 C + 8 P = 20.82 --- (2)
(2) - (1)
5 P = 20.82 - 10.07
5 P = 10.75
1 P = 10.75 ÷ 5 = 2.15
Mass of 3 bags of pepper
= 3 x 2.15
= 6.45 kg
(b)
Mass of the empty container
= 10.07 - 6.45
= 3.62 kg
Answer(s): (a) 6.45 kg; (b) 3.62 kg