A container packed with 5 bags of rice flour weighs 9.51 kg. The same container when packed with 14 such bags of rice flour weighs 25.44 kg.
- Find the mass of 5 bags of rice flour 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 rice flour be 1 P.
1 C + 5 P = 9.51 --- (1)
1 C + 14 P = 25.44 --- (2)
(2) - (1)
9 P = 25.44 - 9.51
9 P = 15.93
1 P = 15.93 ÷ 9 = 1.77
Mass of 5 bags of rice flour
= 5 x 1.77
= 8.85 kg
(b)
Mass of the empty container
= 9.51 - 8.85
= 0.66 kg
Answer(s): (a) 8.85 kg; (b) 0.66 kg