A container packed with 2 bags of chilli powder weighs 10.21 kg. The same container when packed with 9 such bags of chilli powder weighs 26.87 kg.
- Find the mass of 2 bags of chilli powder 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 chilli powder be 1 P.
1 C + 2 P = 10.21 --- (1)
1 C + 9 P = 26.87 --- (2)
(2) - (1)
7 P = 26.87 - 10.21
7 P = 16.66
1 P = 16.66 ÷ 7 = 2.38
Mass of 2 bags of chilli powder
= 2 x 2.38
= 4.76 kg
(b)
Mass of the empty container
= 10.21 - 4.76
= 5.45 kg
Answer(s): (a) 4.76 kg; (b) 5.45 kg