A container packed with 5 bags of curry powder weighs 9.61 kg. The same container when packed with 13 such bags of curry powder weighs 21.69 kg.
- Find the mass of 5 bags 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 packet of curry powder be 1 P.
1 C + 5 P = 9.61 --- (1)
1 C + 13 P = 21.69 --- (2)
(2) - (1)
8 P = 21.69 - 9.61
8 P = 12.08
1 P = 12.08 ÷ 8 = 1.51
Mass of 5 bags of curry powder
= 5 x 1.51
= 7.55 kg
(b)
Mass of the empty container
= 9.61 - 7.55
= 2.06 kg
Answer(s): (a) 7.55 kg; (b) 2.06 kg