A container packed with 4 packets of curry powder weighs 9.79 kg. The same container when packed with 12 such packets of curry powder weighs 22.43 kg.
- Find the mass of 4 packets of curry 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 box of curry powder be 1 B.
1 C + 4 B = 9.79 --- (1)
1 C + 12 B = 22.43 --- (2)
(2) - (1)
8 B = 22.43 - 9.79
8 B = 12.64
1 B = 12.64 ÷ 8 = 1.58
Mass of 4 packets of curry powder
= 4 x 1.58
= 6.32 kg
(b)
Mass of the empty container
= 9.79 - 6.32
= 3.47 kg
Answer(s): (a) 6.32 kg; (b) 3.47 kg